General Scope: Chronic kidney disease (CKD), also known as chronic renal disease. Chronic kidney disease involves conditions that damage your kidneys and decrease their ability to keep you healthy. Many of the early signs of kidney failure can be confused with other illnesses and conditions. This makes diagnosis difficult ! Early detection and treatment can often keep chronic kidney disease from getting worse.

Description of dataset: This Chronic Kidney Disease dataset is downloaded from Kaggle. it’s collected over a period of 2 months. It contains measures of 23 features for 157 hospital patients. We have 12 numerical variables and 9 nominal variables. We have processed some data cleaning with excel to get this final result ; we removed missing values, changed column names to appear more clear and kept the most significant variables.

Simple Variables description:
blood pressure : The diastolic pressure, is the pressure in the arteries when the heart rests between beats. Normal: Lower than 80 Stage 1 hypertension: 80-89 Stage 2 hypertension: 90 or more Hypertensive crisis: 120 or more.

specific gravity : Urine specific gravity is a laboratory test that shows the concentration of all chemical particles in the urine.

albumin : it measures the amount of albumin in a urine sample.

blood glucose random : a blood test done at a random moment of the day to check glucose (sugar) levels. values of 200 mg/dL or above can indicate diabetes.

blood urea : measures the amount of nitrogen in your blood that comes from the waste product urea.In general, around 6 to 24 mg/dL (2.1 to 8.5 mmol/L) is considered normal.

serum creatinine : Creatinine is a waste product that comes from the normal wear and tear on muscles of the body.

sodium : A normal blood sodium level is between 135 and 145 milliequivalents per liter (mEq/L). Hyponatremia occurs when the sodium in your blood falls below 135 mEq/L.

potassium : normally, your blood potassium level is 3.6 to 5.2 millimoles per liter (mmol/L).

hemoglobin : A hemoglobin test measures the amount of hemoglobin in your blood.

packed cell volume : it’s a measurement of the proportion of blood that is made up of cells (percentage).

white blood cell count : Anything below 4,000 is typically considered to be a low white blood cell count.

red blood cell count : Red blood cells are one of the major components of blood, along with white blood cells and platelets.

bacteria : Presence of bacteria in urine .

pus cell : Presence of pus cells in urine defined as pyuria is an important accompaniment of bacteriuria which may be asymptomatic or can indicate toward underlying urinary tract infection.

diabetes mellitus : Diabetes happens when your body can’t take up sugar (glucose) into its cells to use as fuel.

coronary artery disease : Coronary artery disease develops when the coronary arteries become damaged or diseased.

appetite : Describes the desire to eat food.

pedal edema : Pedal edema causes an abnormal accumulation of fluid in the ankles, feet, and lower legs causing swelling of the feet and ankles.

anemia : it’s the condition in which you lack enough healthy red blood cells to carry adequate oxygen to your body’s tissues.

chronic kidney disease : classification of whether the patient has chronic kidney disease.

knitr::opts_chunk$set(message = FALSE)
library(knitr)    # For knitting document and include_graphics function
library(ggplot2)  # For plotting
library(png)      #for grabbing the dimensions of png files
library(imager)
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library(plotly)
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library(plyr)
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library(flexdashboard)
library(reshape2)
library(corrgram)
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##     baseball
library(FactoMineR)
library(factoextra)
## Welcome! Want to learn more? See two factoextra-related books at https://goo.gl/ve3WBa
library(googleVis)
## Creating a generic function for 'toJSON' from package 'jsonlite' in package 'googleVis'
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## Welcome to googleVis version 0.6.12
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## before you start using the package:
## https://developers.google.com/terms/
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## the standard browser to display its output.
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## See the googleVis package vignettes for more details,
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## To suppress this message use:
## suppressPackageStartupMessages(library(googleVis))

Import Data and General Exploratory

setwd("C:/Users/Amal/Desktop")
library(readxl)
data=read_excel("C:/Users/Amal/Desktop/CKD.xlsx")
View(data)
str(data)
## tibble [157 x 21] (S3: tbl_df/tbl/data.frame)
##  $ age                    : num [1:157] 48 53 63 68 61 48 69 73 73 46 ...
##  $ specific gravity       : num [1:157] 1 1.02 1.01 1.01 1.01 ...
##  $ albumin                : num [1:157] 4 2 3 3 2 4 3 0 2 1 ...
##  $ blood glucose random   : num [1:157] 117 70 380 157 173 95 264 70 253 163 ...
##  $ blood urea             : num [1:157] 56 107 60 90 148 163 87 32 142 92 ...
##  $ serum creatinine       : num [1:157] 3.8 7.2 2.7 4.1 3.9 7.7 2.7 0.9 4.6 3.3 ...
##  $ sodium                 : num [1:157] 111 114 131 130 135 136 130 125 138 141 ...
##  $ potassium              : num [1:157] 2.5 3.7 4.2 6.4 5.2 3.8 4 4 5.8 4 ...
##  $ hemoglobin             : num [1:157] 11.2 9.5 10.8 5.6 7.7 9.8 12.5 10 10.5 9.8 ...
##  $ packed cell volume     : num [1:157] 32 29 32 16 24 32 37 29 33 28 ...
##  $ white blood cell count : num [1:157] 6700 12100 4500 11000 9200 6900 9600 18900 7200 14600 ...
##  $ red blood cell count   : num [1:157] 3.9 3.7 3.8 2.6 3.2 3.4 4.1 3.5 4.3 3.2 ...
##  $ bacteria               : chr [1:157] "notpresent" "notpresent" "notpresent" "present" ...
##  $ pus cell               : chr [1:157] "abnormal" "abnormal" "abnormal" "abnormal" ...
##  $ hypertension           : num [1:157] 1 1 1 1 1 1 1 1 1 1 ...
##  $ diabetes mellitus      : num [1:157] 0 1 1 1 1 0 1 1 1 1 ...
##  $ coronary artery disease: num [1:157] 0 0 0 1 1 0 1 0 1 0 ...
##  $ appetite               : chr [1:157] "poor" "poor" "poor" "poor" ...
##  $ pedal edema            : num [1:157] 1 0 1 1 1 0 1 1 0 0 ...
##  $ anemia                 : num [1:157] 1 1 0 0 1 1 0 0 0 0 ...
##  $ chronic kidney disease : chr [1:157] "sick" "sick" "sick" "sick" ...

We can see at first glimpse that some changes are to be made ! let’s go ahead and change the type of the variables bacteria, pus cell, hypertension, diabetes mellitus, coronary artery disease, appetite, pedal edema, anemia and chronic kidney disease into type factor.

library(DT)
 datatable(data, options = list(
 searching = FALSE,
pageLength = 5,
lengthMenu = c(5, 15, 35, 50)
))
data$bacteria=as.factor(data$bacteria)
data$`pus cell`=as.factor(data$`pus cell`)
data$hypertension=as.factor(data$hypertension)
data$`diabetes mellitus`=as.factor(data$`diabetes mellitus`)
data$`coronary artery disease`=as.factor(data$`coronary artery disease`)
data$appetite=as.factor(data$appetite)
data$`pedal edema`=as.factor(data$`pedal edema`)
data$anemia=as.factor(data$anemia)
data$`chronic kidney disease`=as.factor(data$`chronic kidney disease`)

check the result !

str(data)
## tibble [157 x 21] (S3: tbl_df/tbl/data.frame)
##  $ age                    : num [1:157] 48 53 63 68 61 48 69 73 73 46 ...
##  $ specific gravity       : num [1:157] 1 1.02 1.01 1.01 1.01 ...
##  $ albumin                : num [1:157] 4 2 3 3 2 4 3 0 2 1 ...
##  $ blood glucose random   : num [1:157] 117 70 380 157 173 95 264 70 253 163 ...
##  $ blood urea             : num [1:157] 56 107 60 90 148 163 87 32 142 92 ...
##  $ serum creatinine       : num [1:157] 3.8 7.2 2.7 4.1 3.9 7.7 2.7 0.9 4.6 3.3 ...
##  $ sodium                 : num [1:157] 111 114 131 130 135 136 130 125 138 141 ...
##  $ potassium              : num [1:157] 2.5 3.7 4.2 6.4 5.2 3.8 4 4 5.8 4 ...
##  $ hemoglobin             : num [1:157] 11.2 9.5 10.8 5.6 7.7 9.8 12.5 10 10.5 9.8 ...
##  $ packed cell volume     : num [1:157] 32 29 32 16 24 32 37 29 33 28 ...
##  $ white blood cell count : num [1:157] 6700 12100 4500 11000 9200 6900 9600 18900 7200 14600 ...
##  $ red blood cell count   : num [1:157] 3.9 3.7 3.8 2.6 3.2 3.4 4.1 3.5 4.3 3.2 ...
##  $ bacteria               : Factor w/ 2 levels "notpresent","present": 1 1 1 2 1 1 1 1 1 1 ...
##  $ pus cell               : Factor w/ 2 levels "abnormal","normal": 1 1 1 1 1 1 1 2 1 2 ...
##  $ hypertension           : Factor w/ 2 levels "0","1": 2 2 2 2 2 2 2 2 2 2 ...
##  $ diabetes mellitus      : Factor w/ 2 levels "0","1": 1 2 2 2 2 1 2 2 2 2 ...
##  $ coronary artery disease: Factor w/ 2 levels "0","1": 1 1 1 2 2 1 2 1 2 1 ...
##  $ appetite               : Factor w/ 2 levels "good","poor": 2 2 2 2 2 1 1 1 1 1 ...
##  $ pedal edema            : Factor w/ 2 levels "0","1": 2 1 2 2 2 1 2 2 1 1 ...
##  $ anemia                 : Factor w/ 2 levels "0","1": 2 2 1 1 2 2 1 1 1 1 ...
##  $ chronic kidney disease : Factor w/ 2 levels "notsick","sick": 2 2 2 2 2 2 2 2 2 2 ...

We now can get a descriptive overview of the dataset.

Exploratory Data Analysis

summary(data)
##       age       specific gravity    albumin       blood glucose random
##  Min.   : 6.0   Min.   :1.005    Min.   :0.0000   Min.   : 70.0       
##  1st Qu.:39.0   1st Qu.:1.020    1st Qu.:0.0000   1st Qu.: 97.0       
##  Median :50.0   Median :1.020    Median :0.0000   Median :114.0       
##  Mean   :49.5   Mean   :1.020    Mean   :0.7962   Mean   :130.2       
##  3rd Qu.:60.0   3rd Qu.:1.025    3rd Qu.:1.0000   3rd Qu.:131.0       
##  Max.   :83.0   Max.   :1.025    Max.   :4.0000   Max.   :490.0       
##    blood urea     serum creatinine     sodium      potassium     
##  Min.   : 10.00   Min.   : 0.400   Min.   :111   Min.   : 2.500  
##  1st Qu.: 26.00   1st Qu.: 0.700   1st Qu.:135   1st Qu.: 3.700  
##  Median : 40.00   Median : 1.100   Median :139   Median : 4.500  
##  Mean   : 52.69   Mean   : 2.194   Mean   :139   Mean   : 4.644  
##  3rd Qu.: 50.00   3rd Qu.: 1.700   3rd Qu.:144   3rd Qu.: 4.900  
##  Max.   :309.00   Max.   :15.200   Max.   :150   Max.   :47.000  
##    hemoglobin    packed cell volume white blood cell count red blood cell count
##  Min.   : 3.10   Min.   : 9.00      Min.   : 3800          Min.   :2.100       
##  1st Qu.:12.60   1st Qu.:39.00      1st Qu.: 6500          1st Qu.:4.500       
##  Median :14.30   Median :44.00      Median : 7800          Median :5.000       
##  Mean   :13.71   Mean   :41.96      Mean   : 8461          Mean   :4.896       
##  3rd Qu.:15.80   3rd Qu.:48.00      3rd Qu.: 9700          3rd Qu.:5.600       
##  Max.   :17.80   Max.   :54.00      Max.   :26400          Max.   :8.000       
##        bacteria       pus cell   hypertension diabetes mellitus
##  notpresent:145   abnormal: 29   0:123        0:130            
##  present   : 12   normal  :128   1: 34        1: 27            
##                                                                
##                                                                
##                                                                
##                                                                
##  coronary artery disease appetite   pedal edema anemia  chronic kidney disease
##  0:146                   good:139   0:137       0:141   notsick:115           
##  1: 11                   poor: 18   1: 20       1: 16   sick   : 42           
##                                                                               
##                                                                               
##                                                                               
## 

Univariate Analysis

The simplest display for the shape of a distribution of data can be done using an histogram, let’s check the histograms for our numerical variables.

par(mfrow=c(2,2))
hist(data$age, prob=T,col='blue')
hist(data$`specific gravity`, prob=T, col='orchid4')
hist(data$albumin, prob=T, col='palegreen1')
hist(data$`blood glucose random`, prob=T, col='lightyellow1')

hist(data$`blood urea`, prob=T, col='indianred2' )
hist(data$`serum creatinine`, prob=T, col='lightskyblue4' )
hist(data$sodium, prob=T, col='turquoise1')
hist(data$potassium, prob=T, col='rosybrown1')

hist(data$hemoglobin, prob=T, col='thistle4'  )
hist(data$`packed cell volume`, prob=T, col='mintcream' )
hist(data$`white blood cell count`, prob=T, col='slategray3')
hist(data$`red blood cell count`, prob=T, col='plum')

Some variables show some very distant outliers (red blood cell count + blood glucose random).

Let’s check the distribution of our categorical variables now.

par(mfrow=c(2,2))
barplot(table(data$bacteria))
barplot(table(data$`pus cell`))
barplot(table(data$hypertension))
barplot(table(data$`diabetes mellitus`))

barplot(table(data$`coronary artery disease`))
barplot(table(data$appetite))
barplot(table(data$`pedal edema`))
barplot(table(data$anemia))

barplot(table(data$`chronic kidney disease`))

Certain abnormalities/diseases seem relatively commun in this dataset, such as diabetes and hypertension.

Bivariate Analysis

ggplot(data, aes(x=data$`chronic kidney disease`, y=data$age)) +
  geom_boxplot(fill='steelblue')
## Warning: Use of `data$`chronic kidney disease`` is discouraged. Use `chronic
## kidney disease` instead.
## Warning: Use of `data$age` is discouraged. Use `age` instead.

The x-axis displays the disease classification and the y-axis displays the distribution of CKD scored by each age range. We can see that the older the patient gets, the more he is at risk for developing chronic kidney disease.

library(ggcorrplot)
## Warning: le package 'ggcorrplot' a été compilé avec la version R 4.1.3
ggcorrplot(cor(data[1:12]))

>Positive Correlation : hemoglobin -> red_blood_cell_count,packed_cell_volume, specific_gravity serum_creatinine -> blood_urea

Negative correlation : Albumin -> hemoglobin, packed_cell_volume,specific_gravity,red_blood_cell_count serum_creatinine -> sodium

library(plotly)
pal <- c("red", "blue")
fig <- plot_ly(data = data, x = ~hemoglobin, y = ~`packed cell volume`, color = ~`chronic kidney disease`, colors = pal)
fig

We see through this plot that those having a normal range of hemoglobin (13 to 17.8) mostly don’t have chronic kidney disease as well as those who have packed_cell volume range >40 to 55.

pal <- c("rosybrown1", "plum")
fig <- plot_ly(data = data, x = ~`specific gravity`, y = ~`red blood cell count`, color = ~`chronic kidney disease`, colors = pal )
fig

We can see that higher the specific gravity, lesser the risk of having chronic kidney disease.

Multivariate Data Analysis

PCA

library(FactoMineR)

res.PCA=PCA(data, scale.unit = TRUE, quali.sup = 13:21) 

We can see that the first component (dim1) has a high value for packed cell volume, hemoglobin and specific gravity which indicates that this principle component places most of its emphasis on blood composition.

Albumin, serum creatinine and blood urea are in the opposite direction so we can say that they are negatively related to packed cell volume, hemoglobin and specific gravity.

Overall, we see that the first dimension splits apart variables that are related to blood composition (the right) from variables that are related to urine composition.

At the top, white blood count cell, age and blood glocose random have large positive values on the second component (dim2).

Etude des individus

res.PCA$ind$coord 
##          Dim.1        Dim.2        Dim.3        Dim.4        Dim.5
## 1   -3.7683949 -0.100084476 -1.734525138 -1.091999255 -1.526188168
## 2   -3.5398020 -0.349631920 -2.227291405 -0.243337354  1.259641418
## 3   -3.4925323  0.867239529  1.855600223 -1.099860986 -3.145963597
## 4   -5.1663199  0.519277102  0.134446891  0.537107869  0.653098972
## 5   -3.9243379 -0.114534751  0.163615758 -0.116564135  0.599224445
## 6   -3.1393465 -1.564031182 -0.933071915 -0.829419088  1.243733570
## 7   -3.0620741  1.354692409  0.929896409 -0.554674343 -1.316403204
## 8   -2.7845873  2.762696554 -1.028687398  1.452428867  1.474072177
## 9   -2.7974659  0.021209292  1.577459844 -0.927608940  0.019613345
## 10  -2.9121795  1.182219433 -0.605073789  1.359508962  0.285552864
## 11  -3.3129978 -0.869579289 -0.348897351 -0.892387234  0.386117263
## 12  -4.1285895 -1.158865676 -0.464310091 -1.027047571 -0.529120372
## 13  -5.9238909 -2.805578293 -0.248371812 -1.733086020  1.681630751
## 14  -1.8084646  1.768372160  1.359256269 -0.112076007 -1.518500572
## 15  -0.5397228  1.766752873  0.374844416  0.439203309 -1.319326553
## 16  -3.2876632  0.392323885  1.107200841 -1.202392347 -0.887272147
## 17  -4.0217825  1.118321816  1.505543302 -1.148355918 -1.097933094
## 18  -3.2686296  1.188434623 -0.139258539  0.498298733  1.497495101
## 19  -5.9107148 -7.534064228  6.912451360  5.678063214  0.428518700
## 20  -5.4934678  0.158174906 -1.432360321  0.837265891  1.713438541
## 21  -1.6075758 -0.006249705  0.284579908 -1.143781867  0.434917693
## 22  -2.0657881  0.666080422 -0.043740571  0.346367169  0.335510731
## 23  -4.2492031  2.667155847  0.091479758  1.279873255 -1.244002424
## 24  -6.6820828  0.289423439 -0.741802679 -0.396555153  0.488980053
## 25  -0.8657805  0.106651757  0.325920768 -0.146263467  0.498089803
## 26  -3.7854618  1.001786591 -0.366275775  0.140345146  1.536420302
## 27  -3.3595357  0.221890360 -2.497659083  1.668468058 -1.079749770
## 28  -1.8123697  1.654453582 -1.472330026  2.473842973  1.425936301
## 29  -3.7647555  0.604540984  1.120348006 -0.235959355 -1.085178632
## 30  -2.3874230  0.377929136 -2.723646219  3.101930823 -0.851078902
## 31  -5.4510720 -0.836435456 -1.817327442 -1.037031837  0.441805856
## 32  -3.3433115  3.978899816 -0.415845454  3.696479057  0.657435000
## 33  -5.6005410 -0.306332148  0.246025473 -0.443614910 -0.028023731
## 34  -4.5356523 -1.025930941 -0.368244300 -0.445122822 -0.823005323
## 35  -2.9159813  0.273478391  0.611991724 -0.285363718 -1.109617787
## 36  -4.0027696  2.504738616  1.815527263  0.195789708 -3.654971570
## 37  -3.6757114  0.088209176  0.448745892 -0.422078111  0.261330107
## 38  -6.1874753  0.807683380 -1.544865840 -0.564714800 -0.039262512
## 39  -5.0554124  1.046108052 -0.276841569 -0.444739253 -0.436829935
## 40  -5.9464883 -2.914686308 -1.530833603 -2.001085737  1.012723041
## 41  -2.4491510  2.111765053  2.044886453  0.228773043 -3.047573722
## 42  -8.6642848 -2.730968973 -0.757969518 -1.710043289  1.044053399
## 43   0.9909621  0.215671139 -0.408666442  0.785890434 -0.268611789
## 44   2.3914289 -0.524938472 -0.795839610  1.124100768  0.185615439
## 45   1.5661088 -0.086488720 -0.063404890  0.422895061  0.756629763
## 46   1.4295227 -0.161129164  0.292274222 -0.640756410 -0.014581778
## 47   1.0340010  0.022326265 -0.378333136 -0.217650290  0.368440646
## 48   1.9667522 -0.047567397 -0.500704479  0.504940018 -0.259692596
## 49   1.1742380  0.920608981  0.717684621  0.651373820  0.724551485
## 50   1.0639930 -0.041689512 -0.962068625  0.226661876 -0.220255986
## 51   1.1711457  0.145596200 -0.507041445  0.179478309 -0.152720293
## 52   1.2378013 -1.140749454 -0.388743927 -0.465873197 -0.869137323
## 53   1.1778703  0.039866377 -0.486538665  0.782647773 -0.482740866
## 54   1.0236260 -0.256899293  0.164739562 -0.621442413 -0.396608946
## 55   0.9577119  0.281556547  0.013742983 -0.536389340 -0.218693132
## 56   0.8947432 -0.100996569 -0.169792316  0.108728141 -0.180908692
## 57   1.1172445 -0.453161350  0.114754975 -0.442627971 -0.763668796
## 58   1.2417112  0.572117898  0.257359094  0.639449151  0.662846582
## 59   0.4601491  0.050219542  0.247053844 -0.351358820 -0.257793983
## 60   1.2921383  0.362931764  0.116548192  0.389313087  0.418322201
## 61   1.7979903 -0.848932915 -0.564775619  0.518600037 -0.727482621
## 62   1.4119138 -0.823498333 -0.805387268  0.632237336 -0.421359200
## 63   1.2133522 -0.423190303 -0.650227321  1.026832424  0.096735435
## 64   1.0974645 -0.261257384  0.473889771 -0.606550991 -0.223607043
## 65   0.9999418 -0.382319294  0.491165689 -0.722709734 -0.420963294
## 66   1.2213059 -0.614618050  0.006612825 -0.377002240 -0.211720042
## 67   1.1829901  0.186199695 -0.010173240  0.250492775  0.104812149
## 68   2.0182199 -0.950224715 -0.472525028  0.236460002 -1.204258039
## 69   1.3877458  0.249613308  0.621952173  0.185192198  0.555477519
## 70   0.8441682 -1.135515209 -1.155512119  0.040560214 -1.296160742
## 71   2.3393005 -0.690943327 -0.482011796 -0.100378762 -0.396486661
## 72   1.1890014  0.096870677  0.460709121 -1.178117240  0.146513460
## 73   1.3147915  0.925824252  0.837664909 -0.058150917  1.137571878
## 74   1.4372454 -0.345977445 -0.081566457  0.044106135 -0.110623234
## 75   1.2069090 -0.389866052  0.112351356 -0.101608971  0.014933804
## 76   1.5077274 -0.219352000 -0.846693799  0.846764792 -0.275577164
## 77   1.3770319 -0.465334311  0.044151473 -0.117233806 -0.649797939
## 78   0.6799705 -0.483402155 -0.967219399  0.323393549 -0.198015354
## 79   1.0763953  1.530371451  1.172365743 -0.096752487  1.065120306
## 80   1.7094937 -0.344819227  0.136344828  0.138437470  0.331910212
## 81   0.8191125 -0.750350430 -0.688002903 -0.002158956 -0.588239633
## 82   1.0701739  0.058912088 -0.244666678  0.473760175 -0.396477690
## 83   1.5394118 -0.432801360  0.565663525 -0.986575597 -0.577613211
## 84   1.0406843  0.459566240  0.429756549  0.252686109 -0.118857668
## 85   1.1414800 -0.736868967 -0.479977906 -0.102605463  0.241278335
## 86   0.8513171  0.487124000 -0.243229876  0.834225201  0.334588287
## 87   1.4900730  0.217560267  0.769387631 -0.050900208  0.319671539
## 88   1.5153781  0.261580860  0.460394706 -0.166244635  0.171288469
## 89   1.1196504 -0.093073184 -0.030882809  0.788875240  0.101703835
## 90   0.4913399  0.183257046  0.179785531 -0.298056336  0.488689689
## 91   1.7964215  0.292181832  0.432448740 -0.851417492  0.133035392
## 92   1.4408064  0.670466860  0.566735397  0.303561135  0.735374173
## 93   0.7782940  0.921376457  0.519698427 -0.221149105  0.790574634
## 94   1.2787973 -0.239796790  0.176595608  0.296831470 -0.039643485
## 95   1.3931353  0.083297308  0.196799015 -0.906861085  0.176841254
## 96   1.0231311  0.065160030 -0.001546422  0.176442600 -0.022766081
## 97   1.6491655  0.048397029 -0.425576502  1.303298204  0.060974540
## 98   1.8346766 -0.411920663 -0.647480529  0.380403851  0.154170667
## 99   1.0654433  0.038357325  0.944683197 -0.260661913  0.533394374
## 100  1.8752452 -1.320077857 -0.692308637 -0.295378765 -1.069225584
## 101  0.7707383  0.858436416  0.398805762  0.189731005  0.303679475
## 102  1.8877103 -0.448719762 -0.148673456 -0.037640094  0.181455005
## 103  1.3470125  0.138792824  1.142939867 -1.047896753 -0.036127630
## 104  1.0019626 -0.774329160 -1.289877162  0.198129333 -0.658545257
## 105  1.6795771 -0.783260337 -0.552492109  0.234330828 -0.264958404
## 106  0.9513775  0.227281421  1.187626942 -0.097993152  0.828470447
## 107  1.5594141 -0.181531435 -0.352809753 -0.206806824 -0.212112315
## 108  1.8518758 -0.819082962 -0.476762875 -0.462539673 -0.626150412
## 109  0.9998838  0.781061136  0.811092673 -0.263377246  0.769252608
## 110  1.6636321 -0.802132004 -1.277148626  0.655786504 -0.583742815
## 111  1.9511511 -0.372192309  0.151797141  0.119314339 -0.014671696
## 112  1.7672554 -0.064916936 -0.280322678  0.154984919 -0.299202706
## 113  1.0275542 -0.159614077 -1.247373154  0.639707258 -0.143737349
## 114  1.1845169 -0.581099033 -0.249403296  0.066635622 -0.385975516
## 115  1.4761201 -0.685690667  0.215001693  0.099207637  0.037824655
## 116  1.7087897 -0.631624754 -0.239871155  0.567218903 -0.159259091
## 117  1.6901870 -0.963160487 -0.545340749  0.498243995 -0.739869721
## 118  2.3268249 -0.658431277 -0.364434259  0.280172190 -0.097750637
## 119  0.7656034  1.100034565  0.233679279  0.159405159  1.109273718
## 120  0.9976387 -0.305924859 -0.100218902 -0.688258102 -0.484859486
## 121  1.5350582  0.416959424  1.285319711 -1.227596734  0.914580398
## 122  1.5775225 -0.833120885 -0.730568866 -0.279689819 -0.525282992
## 123  1.9197766 -0.851298757 -0.993223659 -0.263603501 -0.715896910
## 124  1.2947135 -0.168454436 -0.652404740  1.177835371  0.342931905
## 125  0.6911492  0.892340642  0.584190819 -0.565674374  1.026484508
## 126  1.5086625  0.823153694  0.004064794  0.169683687  1.007877385
## 127  1.8483084  0.332373631  0.829897685 -1.120747980  0.344336127
## 128  1.8833897 -0.493263931 -0.652595829  0.923716518  0.220410554
## 129  0.5108699  1.263273474  0.810156142 -0.331736273  1.244653632
## 130  1.1845109  0.778288196  0.384146140 -0.623899532  0.905959128
## 131  2.2635603 -1.107345669 -0.452205730  0.283278934 -0.151243798
## 132  1.4908221  1.227990869  1.267942361  0.036620458  1.060619641
## 133  0.9378054  0.668025699  0.449577379 -0.158404719  0.605949172
## 134  1.5362471  0.856060236  1.233752200 -0.932108298  1.243218345
## 135  1.2460029  0.804925094  0.625621247 -0.263993807  1.182109750
## 136  2.1394872  0.600713494  0.387745744 -0.120632446  0.813222133
## 137  1.1213850  0.164455341  0.921673400 -0.550876172  0.564622046
## 138  1.8310322 -0.230589483  0.297191367 -1.205602381  0.572435317
## 139  1.3203678  0.271343962  0.410874295 -0.849404201 -0.033838482
## 140  2.3820677 -0.613731199 -0.075288785 -0.522677637  0.039084410
## 141  1.0569118  0.144626486  1.561008859 -1.343194270  0.943495605
## 142  0.8795618  1.042878522  0.743510591  0.711998555  0.554848336
## 143  1.6185983  0.540986676  1.019024967 -0.284122942  0.373501712
## 144  2.0324670 -0.472091813 -0.060381188 -0.611627484 -0.038732326
## 145  2.1300148 -1.223832957 -1.422830201  0.329290133 -1.076139947
## 146  1.7336038  0.587620941 -0.049401699  0.095096380  0.223915069
## 147  2.0326865 -0.538926994 -0.056336082 -0.082644085 -0.214305056
## 148  1.6127589 -0.218022470 -0.109319691 -0.693633351  0.040947567
## 149  2.1759518 -0.751694021 -0.447572195 -0.146373105 -0.234346190
## 150  1.1579055  0.122941169  0.832528790 -0.514935459  0.078453264
## 151  1.5059057 -0.338862684 -0.093184299 -0.044012000 -0.028177032
## 152  0.3981430  0.306238225  0.143511474  0.334968948  0.007296049
## 153  1.2710431  0.101328609  1.092940797 -0.223326861  0.021571120
## 154  2.4163382 -0.253471252 -0.501671262 -0.232069261  0.155698145
## 155  1.7186480 -1.158895726 -1.411826401  0.561535468 -1.388681304
## 156  1.6349890 -1.261099081 -1.284238208  0.488042452 -0.968696427
## 157  2.0658547  0.301493296  0.529148305 -0.748444833 -0.051988351
res.PCA$ind$cos2 
##          Dim.1        Dim.2        Dim.3        Dim.4        Dim.5
## 1   0.45773369 3.228743e-04 9.697533e-02 3.843658e-02 7.507861e-02
## 2   0.51970137 5.070118e-03 2.057548e-01 2.455916e-03 6.580968e-02
## 3   0.43194581 2.663340e-02 1.219319e-01 4.283749e-02 3.504740e-01
## 4   0.83430803 8.428731e-03 5.650220e-04 9.017515e-03 1.333281e-02
## 5   0.83977163 7.153243e-04 1.459751e-03 7.408978e-04 1.957976e-02
## 6   0.47769672 1.185672e-01 4.219918e-02 3.334431e-02 7.497707e-02
## 7   0.62204026 1.217499e-01 5.736622e-02 2.041095e-02 1.149648e-01
## 8   0.24373059 2.399135e-01 3.326252e-02 6.630986e-02 6.830081e-02
## 9   0.56765127 3.262904e-05 1.804964e-01 6.241398e-02 2.790329e-05
## 10  0.54862695 9.041429e-02 2.368414e-02 1.195653e-01 5.274896e-03
## 11  0.80962284 5.577747e-02 8.979162e-03 5.874179e-02 1.099712e-02
## 12  0.70157310 5.527589e-02 8.873312e-03 4.341608e-02 1.152334e-02
## 13  0.66189312 1.484631e-01 1.163532e-03 5.665184e-02 5.333779e-02
## 14  0.27716775 2.650147e-01 1.565761e-01 1.064506e-03 1.954126e-01
## 15  0.02358755 2.527511e-01 1.137741e-02 1.561970e-02 1.409438e-01
## 16  0.69036291 9.830878e-03 7.829890e-02 9.234114e-02 5.028246e-02
## 17  0.67078750 5.186584e-02 9.400139e-02 5.468911e-02 4.999189e-02
## 18  0.60429207 7.988515e-02 1.096880e-03 1.404414e-02 1.268371e-01
## 19  0.19675309 3.196688e-01 2.690951e-01 1.815691e-01 1.034144e-03
## 20  0.75605446 6.268088e-04 5.140016e-02 1.756252e-02 7.355242e-02
## 21  0.12182155 1.841197e-06 3.817594e-03 6.166910e-02 8.916520e-03
## 22  0.55419126 5.761578e-02 2.484603e-04 1.557979e-02 1.461844e-02
## 23  0.60262643 2.374269e-01 2.793079e-04 5.467227e-02 5.165063e-02
## 24  0.79188396 1.485611e-03 9.759209e-03 2.788978e-03 4.240530e-03
## 25  0.13761046 2.088199e-03 1.950114e-02 3.927422e-03 4.554610e-02
## 26  0.49100761 3.438752e-02 4.596919e-03 6.749091e-04 8.088548e-02
## 27  0.43011622 1.876308e-03 2.377353e-01 1.060872e-01 4.442972e-02
## 28  0.17907673 1.492295e-01 1.181832e-01 3.336490e-01 1.108526e-01
## 29  0.73359030 1.891610e-02 6.496597e-02 2.881738e-03 6.095123e-02
## 30  0.20582705 5.157800e-03 2.678830e-01 3.474625e-01 2.615673e-02
## 31  0.83322191 1.961832e-02 9.261114e-02 3.015651e-02 5.473433e-03
## 32  0.24331030 3.446139e-01 3.764183e-03 2.974290e-01 9.408328e-03
## 33  0.84243625 2.520358e-03 1.625688e-03 5.285540e-03 2.109254e-05
## 34  0.75938930 3.885270e-02 5.005610e-03 7.313827e-03 2.500289e-02
## 35  0.74460810 6.549442e-03 3.279815e-02 7.131088e-03 1.078214e-01
## 36  0.37244298 1.458356e-01 7.662035e-02 8.910833e-04 3.105322e-01
## 37  0.70350730 4.051476e-04 1.048544e-02 9.276229e-03 3.556024e-03
## 38  0.77129870 1.314250e-02 4.808141e-02 6.424717e-03 3.105645e-05
## 39  0.87827508 3.760715e-02 2.633783e-03 6.797173e-03 6.557558e-03
## 40  0.67039276 1.610615e-01 4.442876e-02 7.591709e-02 1.944418e-02
## 41  0.22578743 1.678649e-01 1.574008e-01 1.970055e-03 3.496046e-01
## 42  0.82321809 8.178676e-02 6.300180e-03 3.206739e-02 1.195349e-02
## 43  0.24677618 1.168889e-02 4.196885e-02 1.552077e-01 1.813173e-02
## 44  0.55723747 2.684987e-02 6.171297e-02 1.231221e-01 3.357017e-03
## 45  0.58719008 1.790828e-03 9.624549e-04 4.281541e-02 1.370572e-01
## 46  0.41514209 5.274277e-03 1.735384e-02 8.340663e-02 4.319521e-05
## 47  0.37497633 1.748212e-04 5.020081e-02 1.661424e-02 4.760987e-02
## 48  0.61409865 3.592176e-04 3.980172e-02 4.047794e-02 1.070676e-02
## 49  0.31880222 1.959564e-01 1.190903e-01 9.810016e-02 1.213801e-01
## 50  0.37586341 5.770403e-04 3.073015e-01 1.705727e-02 1.610675e-02
## 51  0.64527219 9.972894e-03 1.209506e-01 1.515462e-02 1.097273e-02
## 52  0.32946422 2.798253e-01 3.249628e-02 4.667044e-02 1.624363e-01
## 53  0.36710622 4.205430e-04 6.263708e-02 1.620800e-01 6.166304e-02
## 54  0.36853081 2.321224e-02 9.545243e-03 1.358291e-01 5.532433e-02
## 55  0.38479614 3.325770e-02 7.923608e-05 1.207039e-01 2.006463e-02
## 56  0.49792649 6.344271e-03 1.793100e-02 7.352794e-03 2.035576e-02
## 57  0.36489424 6.003110e-02 3.849582e-03 5.727278e-02 1.704828e-01
## 58  0.37688877 8.000978e-02 1.619016e-02 9.995029e-02 1.073985e-01
## 59  0.11197152 1.333693e-03 3.227704e-02 6.528482e-02 3.514439e-02
## 60  0.54118186 4.269482e-02 4.402874e-03 4.912734e-02 5.672141e-02
## 61  0.58314148 1.300008e-01 5.753752e-02 4.851369e-02 9.546507e-02
## 62  0.36791713 1.251581e-01 1.197135e-01 7.377240e-02 3.276715e-02
## 63  0.33793436 4.110834e-02 9.704854e-02 2.420236e-01 2.147978e-03
## 64  0.32105823 1.819449e-02 5.986287e-02 9.807029e-02 1.332827e-02
## 65  0.29670442 4.337375e-02 7.158641e-02 1.549895e-01 5.258513e-02
## 66  0.43000977 1.089030e-01 1.260676e-05 4.097484e-02 1.292270e-02
## 67  0.44798356 1.109833e-02 3.312977e-05 2.008585e-02 3.516601e-03
## 68  0.57693776 1.278924e-01 3.162581e-02 7.919675e-03 2.054145e-01
## 69  0.45430082 1.469803e-02 9.125100e-02 8.090382e-03 7.278747e-02
## 70  0.12854708 2.325895e-01 2.408536e-01 2.967595e-04 3.030553e-01
## 71  0.79131482 6.903386e-02 3.359639e-02 1.457005e-03 2.273183e-02
## 72  0.25701876 1.706023e-03 3.858813e-02 2.523348e-01 3.902610e-03
## 73  0.29803385 1.477777e-01 1.209741e-01 5.829952e-04 2.231051e-01
## 74  0.70217351 4.068911e-02 2.261548e-03 6.612727e-04 4.159827e-03
## 75  0.59316188 6.189492e-02 5.140209e-03 4.204247e-03 9.081656e-05
## 76  0.42755812 9.049669e-03 1.348349e-01 1.348575e-01 1.428354e-02
## 77  0.52026239 5.941069e-02 5.348412e-04 3.770858e-03 1.158487e-01
## 78  0.18128867 9.162366e-02 3.668094e-01 4.100655e-02 1.537405e-02
## 79  0.15566268 3.146550e-01 1.846576e-01 1.257666e-03 1.524187e-01
## 80  0.64003652 2.604070e-02 4.071431e-03 4.197368e-03 2.412743e-02
## 81  0.17426969 1.462389e-01 1.229462e-01 1.210660e-06 8.987590e-02
## 82  0.41661624 1.262514e-03 2.177595e-02 8.164781e-02 5.718274e-02
## 83  0.51607837 4.079278e-02 6.968228e-02 2.119663e-01 7.265747e-02
## 84  0.28376714 5.533760e-02 4.839150e-02 1.672965e-02 3.701506e-03
## 85  0.40219818 1.676039e-01 7.111251e-02 3.249709e-03 1.796967e-02
## 86  0.32037594 1.048954e-01 2.615237e-02 3.076407e-01 4.948786e-02
## 87  0.56926487 1.213552e-02 1.517713e-01 6.642605e-04 2.620036e-02
## 88  0.56874857 1.694690e-02 5.249754e-02 6.845002e-03 7.266655e-03
## 89  0.39319865 2.717042e-03 2.991443e-04 1.951928e-01 3.244306e-03
## 90  0.20067677 2.791608e-02 2.686845e-02 7.384648e-02 1.985178e-01
## 91  0.56857213 1.504096e-02 3.294870e-02 1.277186e-01 3.118196e-03
## 92  0.36888630 7.987961e-02 5.707448e-02 1.637471e-02 9.609439e-02
## 93  0.21408248 3.000323e-01 9.545454e-02 1.728479e-02 2.208918e-01
## 94  0.56045886 1.970730e-02 1.068809e-02 3.019675e-02 5.386219e-04
## 95  0.41513278 1.484097e-03 8.284118e-03 1.759065e-01 6.689099e-03
## 96  0.64004071 2.596017e-03 1.462180e-06 1.903496e-02 3.168995e-04
## 97  0.39865265 3.433235e-04 2.654737e-02 2.489739e-01 5.449582e-04
## 98  0.66904687 3.372599e-02 8.332800e-02 2.876255e-02 4.724339e-03
## 99  0.30328771 3.930889e-04 2.384331e-01 1.815304e-02 7.601354e-02
## 100 0.43538764 2.157541e-01 5.934163e-02 1.080236e-02 1.415463e-01
## 101 0.23060167 2.860651e-01 6.174069e-02 1.397414e-02 3.579971e-02
## 102 0.71700330 4.051360e-02 4.447514e-03 2.850702e-04 6.625038e-03
## 103 0.28727046 3.049873e-03 2.068209e-01 1.738540e-01 2.066458e-04
## 104 0.21987562 1.313183e-01 3.643936e-01 8.597489e-03 9.498288e-02
## 105 0.61559644 1.338778e-01 6.661137e-02 1.198271e-02 1.531975e-02
## 106 0.19320371 1.102650e-02 3.010716e-01 2.049751e-03 1.465088e-01
## 107 0.59968619 8.126524e-03 3.069604e-02 1.054705e-02 1.109514e-02
## 108 0.60762490 1.188687e-01 4.027325e-02 3.790616e-02 6.946550e-02
## 109 0.22854941 1.394605e-01 1.503910e-01 1.585760e-02 1.352754e-01
## 110 0.36920071 8.583010e-02 2.175859e-01 5.736842e-02 4.545598e-02
## 111 0.75913173 2.762295e-02 4.594757e-03 2.838707e-03 4.292358e-05
## 112 0.55832761 7.533669e-04 1.404776e-02 4.294073e-03 1.600374e-02
## 113 0.21129856 5.098348e-03 3.113722e-01 8.189354e-02 4.134532e-03
## 114 0.62175579 1.496365e-01 2.756397e-02 1.967661e-03 6.601716e-02
## 115 0.37779224 8.152037e-02 8.014814e-03 1.706475e-03 2.480616e-04
## 116 0.56272169 7.688377e-02 1.108849e-02 6.200373e-02 4.887929e-03
## 117 0.42048825 1.365468e-01 4.377441e-02 3.654000e-02 8.057399e-02
## 118 0.80357766 6.434597e-02 1.971237e-02 1.165066e-02 1.418207e-03
## 119 0.14834250 3.062461e-01 1.381969e-02 6.430764e-03 3.114120e-01
## 120 0.35810839 3.367421e-02 3.613826e-03 1.704396e-01 8.458624e-02
## 121 0.27637727 2.039108e-02 1.937648e-01 1.767519e-01 9.810619e-02
## 122 0.45755090 1.276158e-01 9.813199e-02 1.438274e-02 5.073118e-02
## 123 0.49564615 9.746178e-02 1.326675e-01 9.344858e-03 6.892413e-02
## 124 0.37609023 6.366630e-03 9.549463e-02 3.112533e-01 2.638521e-02
## 125 0.11020840 1.837099e-01 7.873731e-02 7.382511e-02 2.430949e-01
## 126 0.52533644 1.563922e-01 3.813558e-06 6.645589e-03 2.344600e-01
## 127 0.48693680 1.574624e-02 9.816865e-02 1.790357e-01 1.690009e-02
## 128 0.60068118 4.120239e-02 7.211942e-02 1.444911e-01 8.226753e-03
## 129 0.05790354 3.540619e-01 1.456203e-01 2.441577e-02 3.437015e-01
## 130 0.30917208 1.334759e-01 3.251734e-02 8.577317e-02 1.808587e-01
## 131 0.64172192 1.535781e-01 2.561149e-02 1.005058e-02 2.864956e-03
## 132 0.29684381 2.014033e-01 2.147214e-01 1.791117e-04 1.502435e-01
## 133 0.33733689 1.711688e-01 7.752598e-02 9.624421e-03 1.408351e-01
## 134 0.25908887 8.045170e-02 1.671023e-01 9.538044e-02 1.696764e-01
## 135 0.32121872 1.340521e-01 8.098149e-02 1.441950e-02 2.891201e-01
## 136 0.71075327 5.603176e-02 2.334498e-02 2.259580e-03 1.026876e-01
## 137 0.33821416 7.274083e-03 2.284738e-01 8.161881e-02 8.574286e-02
## 138 0.55933274 8.870687e-03 1.473502e-02 2.424859e-01 5.466774e-02
## 139 0.45264922 1.911667e-02 4.383186e-02 1.873272e-01 2.972992e-04
## 140 0.71734181 4.761835e-02 7.166028e-04 3.453709e-02 1.931190e-04
## 141 0.15511601 2.904523e-03 3.383684e-01 2.505283e-01 1.236115e-01
## 142 0.16732719 2.352346e-01 1.195661e-01 1.096458e-01 6.658591e-02
## 143 0.53375710 5.962641e-02 2.115608e-01 1.644668e-02 2.842174e-02
## 144 0.66454860 3.585359e-02 5.865203e-04 6.018021e-02 2.413387e-04
## 145 0.45731676 1.509719e-01 2.040601e-01 1.092973e-02 1.167319e-01
## 146 0.62428688 7.172640e-02 5.069537e-04 1.878505e-03 1.041480e-02
## 147 0.77507882 5.448349e-02 5.953582e-04 1.281234e-03 8.615290e-03
## 148 0.58843040 1.075372e-02 2.703666e-03 1.088469e-01 3.793258e-04
## 149 0.72994321 8.711095e-02 3.088280e-02 3.303034e-03 8.466547e-03
## 150 0.45916748 5.176301e-03 2.373687e-01 9.080933e-02 2.107885e-03
## 151 0.57798571 2.926638e-02 2.213131e-03 4.937007e-04 2.023541e-04
## 152 0.17784271 1.052148e-01 2.310634e-02 1.258830e-01 5.972188e-05
## 153 0.39055611 2.482145e-03 2.887727e-01 1.205715e-02 1.124885e-04
## 154 0.82683560 9.098319e-03 3.564037e-02 7.626740e-03 3.432975e-03
## 155 0.33578355 1.526772e-01 2.265939e-01 3.584594e-02 2.192253e-01
## 156 0.32395070 1.927293e-01 1.998667e-01 2.886453e-02 1.137168e-01
## 157 0.70884571 1.509759e-02 4.650579e-02 9.304044e-02 4.489151e-04
res.PCA$ind$contrib
##          Dim.1        Dim.2        Dim.3        Dim.4        Dim.5
## 1   1.46089019 5.186826e-03 1.907490e+00 9.162096e-01 2.106750e+00
## 2   1.28902910 6.329806e-02 3.145250e+00 4.549542e-02 1.435128e+00
## 3   1.25483214 3.894452e-01 2.183081e+00 9.294494e-01 8.951673e+00
## 4   2.74579019 1.396261e-01 1.146047e-02 2.216528e-01 3.857934e-01
## 5   1.58430053 6.792706e-03 1.697271e-02 1.043951e-02 3.247700e-01
## 6   1.01387235 1.266657e+00 5.519901e-01 5.285648e-01 1.399109e+00
## 7   0.96457537 9.502758e-01 5.482393e-01 2.363885e-01 1.567381e+00
## 8   0.79767585 3.952161e+00 6.709156e-01 1.620839e+00 1.965325e+00
## 9   0.80507136 2.329274e-04 1.577675e+00 6.611195e-01 3.479367e-04
## 10  0.87245099 7.237098e-01 2.321228e-01 1.420085e+00 7.375134e-02
## 11  1.12913814 3.915495e-01 7.717851e-02 6.118667e-01 1.348451e-01
## 12  1.75350969 6.953997e-01 1.366839e-01 8.104594e-01 2.532246e-01
## 13  3.61009705 4.075802e+00 3.911161e-02 2.307759e+00 2.557750e+00
## 14  0.33645331 1.619256e+00 1.171396e+00 9.651070e-03 2.085580e+00
## 15  0.02996721 1.616292e+00 8.908470e-02 1.482113e-01 1.574351e+00
## 16  1.11193500 7.969990e-02 7.772377e-01 1.110817e+00 7.120501e-01
## 17  1.66395636 6.475926e-01 1.437102e+00 1.013219e+00 1.090306e+00
## 18  1.09909744 7.313392e-01 1.229546e-02 1.907786e-01 2.028279e+00
## 19  3.59405545 2.939185e+01 3.029460e+01 2.477140e+01 1.660873e-01
## 20  3.10454477 1.295518e-02 1.300785e+00 5.386131e-01 2.655424e+00
## 21  0.26585674 2.022494e-05 5.134634e-02 1.005163e+00 1.710846e-01
## 22  0.43901191 2.297321e-01 1.213026e-03 9.217722e-02 1.018145e-01
## 23  1.85746119 3.683537e+00 5.305802e-03 1.258589e+00 1.399714e+00
## 24  4.59333876 4.337462e-02 3.488814e-01 1.208252e-01 2.162615e-01
## 25  0.07711171 5.889851e-03 6.734806e-02 1.643697e-02 2.243945e-01
## 26  1.47415279 5.196593e-01 8.505844e-02 1.513369e-02 2.135094e+00
## 27  1.16108305 2.549442e-02 3.955190e+00 2.138878e+00 1.054492e+00
## 28  0.33790789 1.417351e+00 1.374394e+00 4.702128e+00 1.839065e+00
## 29  1.45806984 1.892430e-01 7.958055e-01 4.277840e-02 1.065122e+00
## 30  0.58635887 7.395866e-02 4.703297e+00 7.392892e+00 6.551436e-01
## 31  3.05681110 3.622706e-01 2.093955e+00 8.262935e-01 1.765468e-01
## 32  1.14989570 8.197743e+00 1.096390e-01 1.049849e+01 3.909331e-01
## 33  3.22674568 4.859073e-02 3.837613e-02 1.512037e-01 7.103113e-04
## 34  2.11633437 5.450101e-01 8.597518e-02 1.522334e-01 6.126355e-01
## 35  0.87473044 3.872704e-02 2.374609e-01 6.256733e-02 1.113637e+00
## 36  1.64826089 3.248576e+00 2.089809e+00 2.945302e-02 1.208272e+01
## 37  1.38991291 4.028986e-03 1.276739e-01 1.368787e-01 6.176973e-02
## 38  3.93850792 3.377929e-01 1.513152e+00 2.450239e-01 1.394290e-03
## 39  2.62916561 5.666584e-01 4.859187e-02 1.519711e-01 1.725924e-01
## 40  3.63769181 4.398979e+00 1.485789e+00 3.076674e+00 9.276374e-01
## 41  0.61707206 2.309189e+00 2.651181e+00 4.021239e-02 8.400503e+00
## 42  7.72271854 3.861907e+00 3.642542e-01 2.246800e+00 9.859213e-01
## 43  0.10102267 2.408532e-02 1.058861e-01 4.745415e-01 6.525999e-02
## 44  0.58832828 1.426872e-01 4.015616e-01 9.708690e-01 3.116198e-02
## 45  0.25231821 3.873354e-03 2.548863e-03 1.374091e-01 5.178020e-01
## 46  0.21022623 1.344363e-02 5.416042e-02 3.154540e-01 1.923171e-04
## 47  0.10998835 2.581074e-04 9.075066e-02 3.639726e-02 1.227812e-01
## 48  0.39792759 1.171621e-03 1.589513e-01 1.958979e-01 6.099805e-02
## 49  0.14184597 4.388526e-01 3.265640e-01 3.259949e-01 4.748269e-01
## 50  0.11646148 8.999573e-04 5.868311e-01 3.947363e-02 4.387855e-02
## 51  0.14109987 1.097661e-02 1.630001e-01 2.474994e-02 2.109553e-02
## 52  0.15761829 6.738276e-01 9.581385e-02 1.667576e-01 6.832406e-01
## 53  0.14272488 8.229659e-04 1.500845e-01 4.706335e-01 2.107779e-01
## 54  0.10779222 3.417386e-02 1.720667e-02 2.967235e-01 1.422728e-01
## 55  0.09435708 4.104871e-02 1.197466e-04 2.210601e-01 4.325807e-02
## 56  0.08235719 5.281795e-03 1.827835e-02 9.083100e-03 2.960164e-02
## 57  0.12841070 1.063345e-01 8.349185e-03 1.505317e-01 5.274811e-01
## 58  0.15861562 1.694882e-01 4.199331e-02 3.141682e-01 3.973954e-01
## 59  0.02178221 1.305912e-03 3.869762e-02 9.485317e-02 6.010940e-02
## 60  0.17176030 6.820532e-02 8.612161e-03 1.164523e-01 1.582773e-01
## 61  0.33256722 3.731771e-01 2.022334e-01 2.066404e-01 4.786765e-01
## 62  0.20507897 3.511508e-01 4.112544e-01 3.071216e-01 1.605838e-01
## 63  0.15145323 9.273415e-02 2.680597e-01 8.101199e-01 8.463851e-03
## 64  0.12390412 3.534316e-02 1.423822e-01 2.826733e-01 4.522388e-02
## 65  0.10286183 7.568690e-02 1.529527e-01 4.013081e-01 1.602822e-01
## 66  0.15344533 1.956045e-01 2.772523e-05 1.092039e-01 4.054346e-02
## 67  0.14396834 1.795255e-02 6.561749e-05 4.821038e-02 9.936195e-03
## 68  0.41902675 4.675423e-01 1.415633e-01 4.296012e-02 1.311704e+00
## 69  0.19811831 3.226293e-02 2.452534e-01 2.635090e-02 2.790807e-01
## 70  0.07330993 6.676582e-01 8.465450e-01 1.264010e-03 1.519549e+00
## 71  0.56295903 2.472027e-01 1.473046e-01 7.741655e-03 1.421851e-01
## 72  0.14543519 4.859068e-03 1.345720e-01 1.066417e+00 1.941565e-02
## 73  0.17783553 4.438389e-01 4.448788e-01 2.598144e-03 1.170455e+00
## 74  0.21250376 6.198175e-02 4.218171e-03 1.494680e-03 1.106852e-02
## 75  0.14984900 7.870442e-02 8.003089e-03 7.932576e-03 2.017148e-04
## 76  0.23385703 2.491446e-02 4.545208e-01 5.509038e-01 6.868838e-02
## 77  0.19507101 1.121240e-01 1.235923e-03 1.055980e-02 3.819034e-01
## 78  0.04756472 1.210000e-01 5.931316e-01 8.035499e-02 3.546456e-02
## 79  0.11919233 1.212724e+00 8.714195e-01 7.192410e-03 1.026111e+00
## 80  0.30063515 6.156746e-02 1.178632e-02 1.472507e-02 9.964100e-02
## 81  0.06902270 2.915389e-01 3.001108e-01 3.581274e-06 3.129719e-01
## 82  0.11781851 1.797120e-03 3.795340e-02 1.724516e-01 1.421786e-01
## 83  0.24378916 9.699414e-02 2.028698e-01 7.478438e-01 3.017665e-01
## 84  0.11141478 1.093615e-01 1.170971e-01 4.905834e-02 1.277766e-02
## 85  0.13404214 2.811569e-01 1.460641e-01 8.088931e-03 5.265426e-02
## 86  0.07455684 1.228704e-01 3.750895e-02 5.347081e-01 1.012554e-01
## 87  0.22841250 2.450910e-02 3.753111e-01 1.990624e-03 9.242826e-02
## 88  0.23623638 3.543074e-02 1.343884e-01 2.123467e-02 2.653708e-02
## 89  0.12896433 4.485568e-03 6.046926e-04 4.781529e-01 9.355597e-03
## 90  0.02483526 1.738960e-02 2.049323e-02 6.825695e-02 2.160047e-01
## 91  0.33198715 4.420534e-02 1.185688e-01 5.569745e-01 1.600778e-02
## 92  0.21355808 2.327678e-01 2.036394e-01 7.080150e-02 4.891179e-01
## 93  0.06231493 4.395846e-01 1.712395e-01 3.757686e-02 5.653047e-01
## 94  0.16823183 2.977522e-02 1.977247e-02 6.769710e-02 1.421479e-03
## 95  0.19966014 3.592777e-03 2.455539e-02 6.318757e-01 2.828551e-02
## 96  0.10768800 2.198522e-03 1.516201e-06 2.391977e-02 4.687847e-04
## 97  0.27979070 1.212846e-03 1.148303e-01 1.305082e+00 3.362745e-03
## 98  0.34627712 8.786086e-02 2.657997e-01 1.111834e-01 2.149811e-02
## 99  0.11677919 7.618420e-04 5.658136e-01 5.220418e-02 2.573319e-01
## 100 0.36176030 9.023341e-01 3.038789e-01 6.703609e-02 1.034036e+00
## 101 0.06111089 3.815791e-01 1.008379e-01 2.765838e-02 8.341184e-02
## 102 0.36658565 1.042602e-01 1.401419e-02 1.088558e-03 2.978069e-02
## 103 0.18665859 9.974756e-03 8.282240e-01 8.436982e-01 1.180527e-03
## 104 0.10327799 3.104699e-01 1.054867e+00 3.016114e-02 3.922546e-01
## 105 0.29020483 3.176732e-01 1.935322e-01 4.218995e-02 6.349686e-02
## 106 0.09311305 2.674830e-02 8.942545e-01 7.378050e-03 6.207988e-01
## 107 0.25016566 1.706365e-02 7.891911e-02 3.286093e-02 4.069383e-02
## 108 0.35279992 3.473954e-01 1.441139e-01 1.643797e-01 3.546126e-01
## 109 0.10284989 3.158918e-01 4.171017e-01 5.329748e-02 5.352230e-01
## 110 0.28472091 3.331655e-01 1.034151e+00 3.304267e-01 3.082052e-01
## 111 0.39163958 7.173037e-02 1.460926e-02 1.093794e-02 1.946962e-04
## 112 0.32129457 2.182148e-03 4.982158e-02 1.845564e-02 8.097070e-02
## 113 0.10862110 1.319200e-02 9.864926e-01 3.144218e-01 1.868685e-02
## 114 0.14434020 1.748512e-01 3.943714e-02 3.411639e-03 1.347461e-01
## 115 0.22415485 2.434584e-01 2.930791e-02 7.562064e-03 1.294037e-03
## 116 0.30038761 2.065792e-01 3.648019e-02 2.472017e-01 2.294063e-02
## 117 0.29388286 4.803586e-01 1.885545e-01 1.907367e-01 4.951164e-01
## 118 0.55697047 2.244860e-01 8.420530e-02 6.031151e-02 8.642433e-03
## 119 0.06029933 6.265864e-01 3.462115e-02 1.952337e-02 1.112947e+00
## 120 0.10238854 4.846161e-02 6.367960e-03 3.639593e-01 2.126320e-01
## 121 0.24241218 9.002349e-02 1.047426e+00 1.157875e+00 7.565552e-01
## 122 0.25600938 3.594052e-01 3.383945e-01 6.010401e-02 2.495649e-01
## 123 0.37914573 3.752600e-01 6.254537e-01 5.338909e-02 4.635513e-01
## 124 0.17244559 1.469377e-02 2.698580e-01 1.065907e+00 1.063684e-01
## 125 0.04914149 4.123155e-01 2.163767e-01 2.458573e-01 9.530192e-01
## 126 0.23414720 3.508570e-01 1.047558e-05 2.212230e-02 9.187815e-01
## 127 0.35144199 5.720334e-02 4.366668e-01 9.650861e-01 1.072413e-01
## 128 0.36490947 1.259874e-01 2.700161e-01 6.555828e-01 4.394016e-02
## 129 0.02684883 8.263481e-01 4.161391e-01 8.455437e-02 1.401180e+00
## 130 0.14433874 3.136528e-01 9.356081e-02 2.990746e-01 7.423591e-01
## 131 0.52709500 6.349429e-01 1.296502e-01 6.165648e-02 2.068960e-02
## 132 0.22864221 7.808337e-01 1.019295e+00 1.030381e-03 1.017457e+00
## 133 0.09047534 2.310759e-01 1.281474e-01 1.927908e-02 3.321003e-01
## 134 0.24278784 3.794695e-01 9.650658e-01 6.675486e-01 1.397950e+00
## 135 0.15971395 3.354897e-01 2.481556e-01 5.354731e-02 1.263899e+00
## 136 0.47089509 1.868543e-01 9.532243e-02 1.118094e-02 5.981571e-01
## 137 0.12936425 1.400439e-02 5.385861e-01 2.331622e-01 2.883451e-01
## 138 0.34490283 2.753260e-02 5.599812e-02 1.116756e+00 2.963805e-01
## 139 0.17934721 3.812489e-02 1.070333e-01 5.543435e-01 1.035663e-03
## 140 0.58373130 1.950404e-01 3.593864e-03 2.099027e-01 1.381669e-03
## 141 0.11491647 1.083088e-02 1.544941e+00 1.386206e+00 8.051497e-01
## 142 0.07958616 5.631651e-01 3.504898e-01 3.895008e-01 2.784488e-01
## 143 0.26951498 1.515449e-01 6.583710e-01 6.202443e-02 1.261775e-01
## 144 0.42496365 1.154041e-01 2.311556e-03 2.874247e-01 1.356888e-03
## 145 0.46673461 7.755549e-01 1.283533e+00 8.331200e-02 1.047453e+00
## 146 0.30917508 1.787981e-01 1.547337e-03 6.948293e-03 4.534856e-02
## 147 0.42505545 1.503932e-01 2.012215e-03 5.247757e-03 4.153954e-02
## 148 0.26757384 2.461335e-02 7.577009e-03 3.696665e-01 1.516537e-03
## 149 0.48708338 2.925839e-01 1.270069e-01 1.646163e-02 4.967211e-02
## 150 0.13792755 7.826416e-03 4.394400e-01 2.037304e-01 5.566970e-03
## 151 0.23329225 5.945875e-02 5.505370e-03 1.488306e-03 7.181040e-04
## 152 0.01630733 4.856094e-02 1.305793e-02 8.621032e-02 4.814734e-05
## 153 0.16619781 5.316581e-03 7.573460e-01 3.832058e-02 4.208644e-04
## 154 0.60064823 3.326792e-02 1.595657e-01 4.137951e-02 2.192622e-02
## 155 0.30386356 6.954357e-01 1.263757e+00 2.422727e-01 1.744223e+00
## 156 0.27500112 8.235059e-01 1.045664e+00 1.830060e-01 8.487353e-01
## 157 0.43904022 4.706777e-02 1.775235e-01 4.303975e-01 2.444606e-03
plot.PCA(res.PCA, choix = "ind")

##Etude des variables

res.PCA$var
## $coord
##                             Dim.1       Dim.2        Dim.3       Dim.4
## age                    -0.3237512  0.45786945  0.585925804 -0.37545913
## specific gravity        0.8047017 -0.17311985 -0.017249580  0.04077007
## albumin                -0.8872459  0.02163300  0.001745685  0.05082800
## blood glucose random   -0.5702945  0.30016469  0.406564149  0.01307858
## blood urea             -0.8266167 -0.29522827 -0.051508472 -0.16027078
## serum creatinine       -0.8420482 -0.24403639 -0.128584813 -0.23429552
## sodium                  0.6759000  0.08649324  0.330694068  0.13653203
## potassium              -0.2253404 -0.59148694  0.551703498  0.49399036
## hemoglobin              0.9065581  0.02293572  0.074222018 -0.07106229
## packed cell volume      0.9044901  0.02326276  0.060299271 -0.10466117
## white blood cell count -0.3492515  0.62807183 -0.230826989  0.56536305
## red blood cell count    0.8153581  0.01737339 -0.019016991 -0.06868533
##                              Dim.5
## age                     0.39936346
## specific gravity        0.24605811
## albumin                -0.11268393
## blood glucose random   -0.55632078
## blood urea              0.18157787
## serum creatinine        0.14440861
## sodium                  0.14971336
## potassium               0.07464035
## hemoglobin             -0.08699614
## packed cell volume     -0.07469181
## white blood cell count  0.24577013
## red blood cell count   -0.08140081
## 
## $cor
##                             Dim.1       Dim.2        Dim.3       Dim.4
## age                    -0.3237512  0.45786945  0.585925804 -0.37545913
## specific gravity        0.8047017 -0.17311985 -0.017249580  0.04077007
## albumin                -0.8872459  0.02163300  0.001745685  0.05082800
## blood glucose random   -0.5702945  0.30016469  0.406564149  0.01307858
## blood urea             -0.8266167 -0.29522827 -0.051508472 -0.16027078
## serum creatinine       -0.8420482 -0.24403639 -0.128584813 -0.23429552
## sodium                  0.6759000  0.08649324  0.330694068  0.13653203
## potassium              -0.2253404 -0.59148694  0.551703498  0.49399036
## hemoglobin              0.9065581  0.02293572  0.074222018 -0.07106229
## packed cell volume      0.9044901  0.02326276  0.060299271 -0.10466117
## white blood cell count -0.3492515  0.62807183 -0.230826989  0.56536305
## red blood cell count    0.8153581  0.01737339 -0.019016991 -0.06868533
##                              Dim.5
## age                     0.39936346
## specific gravity        0.24605811
## albumin                -0.11268393
## blood glucose random   -0.55632078
## blood urea              0.18157787
## serum creatinine        0.14440861
## sodium                  0.14971336
## potassium               0.07464035
## hemoglobin             -0.08699614
## packed cell volume     -0.07469181
## white blood cell count  0.24577013
## red blood cell count   -0.08140081
## 
## $cos2
##                             Dim.1        Dim.2        Dim.3        Dim.4
## age                    0.10481484 0.2096444358 3.433090e-01 0.1409695567
## specific gravity       0.64754475 0.0299704810 2.975480e-04 0.0016621984
## albumin                0.78720529 0.0004679869 3.047416e-06 0.0025834860
## blood glucose random   0.32523583 0.0900988404 1.652944e-01 0.0001710492
## blood urea             0.68329523 0.0871597314 2.653123e-03 0.0256867225
## serum creatinine       0.70904514 0.0595537593 1.653405e-02 0.0548943902
## sodium                 0.45684082 0.0074810801 1.093586e-01 0.0186409951
## potassium              0.05077829 0.3498567996 3.043767e-01 0.2440264727
## hemoglobin             0.82184761 0.0005260473 5.508908e-03 0.0050498486
## packed cell volume     0.81810243 0.0005411559 3.636002e-03 0.0109539612
## white blood cell count 0.12197664 0.3944742183 5.328110e-02 0.3196353780
## red blood cell count   0.66480889 0.0003018346 3.616460e-04 0.0047176750
##                              Dim.5
## age                    0.159491173
## specific gravity       0.060544593
## albumin                0.012697669
## blood glucose random   0.309492809
## blood urea             0.032970522
## serum creatinine       0.020853846
## sodium                 0.022414091
## potassium              0.005571181
## hemoglobin             0.007568329
## packed cell volume     0.005578867
## white blood cell count 0.060402957
## red blood cell count   0.006626093
## 
## $contrib
##                             Dim.1       Dim.2        Dim.3      Dim.4
## age                     1.6928841 17.04320486 3.417322e+01 17.0049412
## specific gravity       10.4586158  2.43647319 2.961814e-02  0.2005084
## albumin                12.7142990  0.03804535 3.033419e-04  0.3116419
## blood glucose random    5.2529444  7.32465419 1.645352e+01  0.0206334
## blood urea             11.0360283  7.08571707 2.640937e-01  3.0985499
## serum creatinine       11.4519200  4.84146844 1.645811e+00  6.6218260
## sodium                  7.3785211  0.60818013 1.088563e+01  2.2486346
## potassium               0.8201296 28.44187629 3.029787e+01 29.4365387
## hemoglobin             13.2738137  0.04276542 5.483606e-01  0.6091555
## packed cell volume     13.2133245  0.04399368 3.619302e-01  1.3213595
## white blood cell count  1.9700673 32.06908349 5.303638e+00 38.5571249
## red blood cell count   10.7374521  0.02453787 3.599849e-02  0.5690859
##                             Dim.5
## age                    22.6481719
## specific gravity        8.5974936
## albumin                 1.8031029
## blood glucose random   43.9488041
## blood urea              4.6819020
## serum creatinine        2.9613017
## sodium                  3.1828607
## potassium               0.7911226
## hemoglobin              1.0747229
## packed cell volume      0.7922140
## white blood cell count  8.5773809
## red blood cell count    0.9409228
res.PCA$ind
## $coord
##          Dim.1        Dim.2        Dim.3        Dim.4        Dim.5
## 1   -3.7683949 -0.100084476 -1.734525138 -1.091999255 -1.526188168
## 2   -3.5398020 -0.349631920 -2.227291405 -0.243337354  1.259641418
## 3   -3.4925323  0.867239529  1.855600223 -1.099860986 -3.145963597
## 4   -5.1663199  0.519277102  0.134446891  0.537107869  0.653098972
## 5   -3.9243379 -0.114534751  0.163615758 -0.116564135  0.599224445
## 6   -3.1393465 -1.564031182 -0.933071915 -0.829419088  1.243733570
## 7   -3.0620741  1.354692409  0.929896409 -0.554674343 -1.316403204
## 8   -2.7845873  2.762696554 -1.028687398  1.452428867  1.474072177
## 9   -2.7974659  0.021209292  1.577459844 -0.927608940  0.019613345
## 10  -2.9121795  1.182219433 -0.605073789  1.359508962  0.285552864
## 11  -3.3129978 -0.869579289 -0.348897351 -0.892387234  0.386117263
## 12  -4.1285895 -1.158865676 -0.464310091 -1.027047571 -0.529120372
## 13  -5.9238909 -2.805578293 -0.248371812 -1.733086020  1.681630751
## 14  -1.8084646  1.768372160  1.359256269 -0.112076007 -1.518500572
## 15  -0.5397228  1.766752873  0.374844416  0.439203309 -1.319326553
## 16  -3.2876632  0.392323885  1.107200841 -1.202392347 -0.887272147
## 17  -4.0217825  1.118321816  1.505543302 -1.148355918 -1.097933094
## 18  -3.2686296  1.188434623 -0.139258539  0.498298733  1.497495101
## 19  -5.9107148 -7.534064228  6.912451360  5.678063214  0.428518700
## 20  -5.4934678  0.158174906 -1.432360321  0.837265891  1.713438541
## 21  -1.6075758 -0.006249705  0.284579908 -1.143781867  0.434917693
## 22  -2.0657881  0.666080422 -0.043740571  0.346367169  0.335510731
## 23  -4.2492031  2.667155847  0.091479758  1.279873255 -1.244002424
## 24  -6.6820828  0.289423439 -0.741802679 -0.396555153  0.488980053
## 25  -0.8657805  0.106651757  0.325920768 -0.146263467  0.498089803
## 26  -3.7854618  1.001786591 -0.366275775  0.140345146  1.536420302
## 27  -3.3595357  0.221890360 -2.497659083  1.668468058 -1.079749770
## 28  -1.8123697  1.654453582 -1.472330026  2.473842973  1.425936301
## 29  -3.7647555  0.604540984  1.120348006 -0.235959355 -1.085178632
## 30  -2.3874230  0.377929136 -2.723646219  3.101930823 -0.851078902
## 31  -5.4510720 -0.836435456 -1.817327442 -1.037031837  0.441805856
## 32  -3.3433115  3.978899816 -0.415845454  3.696479057  0.657435000
## 33  -5.6005410 -0.306332148  0.246025473 -0.443614910 -0.028023731
## 34  -4.5356523 -1.025930941 -0.368244300 -0.445122822 -0.823005323
## 35  -2.9159813  0.273478391  0.611991724 -0.285363718 -1.109617787
## 36  -4.0027696  2.504738616  1.815527263  0.195789708 -3.654971570
## 37  -3.6757114  0.088209176  0.448745892 -0.422078111  0.261330107
## 38  -6.1874753  0.807683380 -1.544865840 -0.564714800 -0.039262512
## 39  -5.0554124  1.046108052 -0.276841569 -0.444739253 -0.436829935
## 40  -5.9464883 -2.914686308 -1.530833603 -2.001085737  1.012723041
## 41  -2.4491510  2.111765053  2.044886453  0.228773043 -3.047573722
## 42  -8.6642848 -2.730968973 -0.757969518 -1.710043289  1.044053399
## 43   0.9909621  0.215671139 -0.408666442  0.785890434 -0.268611789
## 44   2.3914289 -0.524938472 -0.795839610  1.124100768  0.185615439
## 45   1.5661088 -0.086488720 -0.063404890  0.422895061  0.756629763
## 46   1.4295227 -0.161129164  0.292274222 -0.640756410 -0.014581778
## 47   1.0340010  0.022326265 -0.378333136 -0.217650290  0.368440646
## 48   1.9667522 -0.047567397 -0.500704479  0.504940018 -0.259692596
## 49   1.1742380  0.920608981  0.717684621  0.651373820  0.724551485
## 50   1.0639930 -0.041689512 -0.962068625  0.226661876 -0.220255986
## 51   1.1711457  0.145596200 -0.507041445  0.179478309 -0.152720293
## 52   1.2378013 -1.140749454 -0.388743927 -0.465873197 -0.869137323
## 53   1.1778703  0.039866377 -0.486538665  0.782647773 -0.482740866
## 54   1.0236260 -0.256899293  0.164739562 -0.621442413 -0.396608946
## 55   0.9577119  0.281556547  0.013742983 -0.536389340 -0.218693132
## 56   0.8947432 -0.100996569 -0.169792316  0.108728141 -0.180908692
## 57   1.1172445 -0.453161350  0.114754975 -0.442627971 -0.763668796
## 58   1.2417112  0.572117898  0.257359094  0.639449151  0.662846582
## 59   0.4601491  0.050219542  0.247053844 -0.351358820 -0.257793983
## 60   1.2921383  0.362931764  0.116548192  0.389313087  0.418322201
## 61   1.7979903 -0.848932915 -0.564775619  0.518600037 -0.727482621
## 62   1.4119138 -0.823498333 -0.805387268  0.632237336 -0.421359200
## 63   1.2133522 -0.423190303 -0.650227321  1.026832424  0.096735435
## 64   1.0974645 -0.261257384  0.473889771 -0.606550991 -0.223607043
## 65   0.9999418 -0.382319294  0.491165689 -0.722709734 -0.420963294
## 66   1.2213059 -0.614618050  0.006612825 -0.377002240 -0.211720042
## 67   1.1829901  0.186199695 -0.010173240  0.250492775  0.104812149
## 68   2.0182199 -0.950224715 -0.472525028  0.236460002 -1.204258039
## 69   1.3877458  0.249613308  0.621952173  0.185192198  0.555477519
## 70   0.8441682 -1.135515209 -1.155512119  0.040560214 -1.296160742
## 71   2.3393005 -0.690943327 -0.482011796 -0.100378762 -0.396486661
## 72   1.1890014  0.096870677  0.460709121 -1.178117240  0.146513460
## 73   1.3147915  0.925824252  0.837664909 -0.058150917  1.137571878
## 74   1.4372454 -0.345977445 -0.081566457  0.044106135 -0.110623234
## 75   1.2069090 -0.389866052  0.112351356 -0.101608971  0.014933804
## 76   1.5077274 -0.219352000 -0.846693799  0.846764792 -0.275577164
## 77   1.3770319 -0.465334311  0.044151473 -0.117233806 -0.649797939
## 78   0.6799705 -0.483402155 -0.967219399  0.323393549 -0.198015354
## 79   1.0763953  1.530371451  1.172365743 -0.096752487  1.065120306
## 80   1.7094937 -0.344819227  0.136344828  0.138437470  0.331910212
## 81   0.8191125 -0.750350430 -0.688002903 -0.002158956 -0.588239633
## 82   1.0701739  0.058912088 -0.244666678  0.473760175 -0.396477690
## 83   1.5394118 -0.432801360  0.565663525 -0.986575597 -0.577613211
## 84   1.0406843  0.459566240  0.429756549  0.252686109 -0.118857668
## 85   1.1414800 -0.736868967 -0.479977906 -0.102605463  0.241278335
## 86   0.8513171  0.487124000 -0.243229876  0.834225201  0.334588287
## 87   1.4900730  0.217560267  0.769387631 -0.050900208  0.319671539
## 88   1.5153781  0.261580860  0.460394706 -0.166244635  0.171288469
## 89   1.1196504 -0.093073184 -0.030882809  0.788875240  0.101703835
## 90   0.4913399  0.183257046  0.179785531 -0.298056336  0.488689689
## 91   1.7964215  0.292181832  0.432448740 -0.851417492  0.133035392
## 92   1.4408064  0.670466860  0.566735397  0.303561135  0.735374173
## 93   0.7782940  0.921376457  0.519698427 -0.221149105  0.790574634
## 94   1.2787973 -0.239796790  0.176595608  0.296831470 -0.039643485
## 95   1.3931353  0.083297308  0.196799015 -0.906861085  0.176841254
## 96   1.0231311  0.065160030 -0.001546422  0.176442600 -0.022766081
## 97   1.6491655  0.048397029 -0.425576502  1.303298204  0.060974540
## 98   1.8346766 -0.411920663 -0.647480529  0.380403851  0.154170667
## 99   1.0654433  0.038357325  0.944683197 -0.260661913  0.533394374
## 100  1.8752452 -1.320077857 -0.692308637 -0.295378765 -1.069225584
## 101  0.7707383  0.858436416  0.398805762  0.189731005  0.303679475
## 102  1.8877103 -0.448719762 -0.148673456 -0.037640094  0.181455005
## 103  1.3470125  0.138792824  1.142939867 -1.047896753 -0.036127630
## 104  1.0019626 -0.774329160 -1.289877162  0.198129333 -0.658545257
## 105  1.6795771 -0.783260337 -0.552492109  0.234330828 -0.264958404
## 106  0.9513775  0.227281421  1.187626942 -0.097993152  0.828470447
## 107  1.5594141 -0.181531435 -0.352809753 -0.206806824 -0.212112315
## 108  1.8518758 -0.819082962 -0.476762875 -0.462539673 -0.626150412
## 109  0.9998838  0.781061136  0.811092673 -0.263377246  0.769252608
## 110  1.6636321 -0.802132004 -1.277148626  0.655786504 -0.583742815
## 111  1.9511511 -0.372192309  0.151797141  0.119314339 -0.014671696
## 112  1.7672554 -0.064916936 -0.280322678  0.154984919 -0.299202706
## 113  1.0275542 -0.159614077 -1.247373154  0.639707258 -0.143737349
## 114  1.1845169 -0.581099033 -0.249403296  0.066635622 -0.385975516
## 115  1.4761201 -0.685690667  0.215001693  0.099207637  0.037824655
## 116  1.7087897 -0.631624754 -0.239871155  0.567218903 -0.159259091
## 117  1.6901870 -0.963160487 -0.545340749  0.498243995 -0.739869721
## 118  2.3268249 -0.658431277 -0.364434259  0.280172190 -0.097750637
## 119  0.7656034  1.100034565  0.233679279  0.159405159  1.109273718
## 120  0.9976387 -0.305924859 -0.100218902 -0.688258102 -0.484859486
## 121  1.5350582  0.416959424  1.285319711 -1.227596734  0.914580398
## 122  1.5775225 -0.833120885 -0.730568866 -0.279689819 -0.525282992
## 123  1.9197766 -0.851298757 -0.993223659 -0.263603501 -0.715896910
## 124  1.2947135 -0.168454436 -0.652404740  1.177835371  0.342931905
## 125  0.6911492  0.892340642  0.584190819 -0.565674374  1.026484508
## 126  1.5086625  0.823153694  0.004064794  0.169683687  1.007877385
## 127  1.8483084  0.332373631  0.829897685 -1.120747980  0.344336127
## 128  1.8833897 -0.493263931 -0.652595829  0.923716518  0.220410554
## 129  0.5108699  1.263273474  0.810156142 -0.331736273  1.244653632
## 130  1.1845109  0.778288196  0.384146140 -0.623899532  0.905959128
## 131  2.2635603 -1.107345669 -0.452205730  0.283278934 -0.151243798
## 132  1.4908221  1.227990869  1.267942361  0.036620458  1.060619641
## 133  0.9378054  0.668025699  0.449577379 -0.158404719  0.605949172
## 134  1.5362471  0.856060236  1.233752200 -0.932108298  1.243218345
## 135  1.2460029  0.804925094  0.625621247 -0.263993807  1.182109750
## 136  2.1394872  0.600713494  0.387745744 -0.120632446  0.813222133
## 137  1.1213850  0.164455341  0.921673400 -0.550876172  0.564622046
## 138  1.8310322 -0.230589483  0.297191367 -1.205602381  0.572435317
## 139  1.3203678  0.271343962  0.410874295 -0.849404201 -0.033838482
## 140  2.3820677 -0.613731199 -0.075288785 -0.522677637  0.039084410
## 141  1.0569118  0.144626486  1.561008859 -1.343194270  0.943495605
## 142  0.8795618  1.042878522  0.743510591  0.711998555  0.554848336
## 143  1.6185983  0.540986676  1.019024967 -0.284122942  0.373501712
## 144  2.0324670 -0.472091813 -0.060381188 -0.611627484 -0.038732326
## 145  2.1300148 -1.223832957 -1.422830201  0.329290133 -1.076139947
## 146  1.7336038  0.587620941 -0.049401699  0.095096380  0.223915069
## 147  2.0326865 -0.538926994 -0.056336082 -0.082644085 -0.214305056
## 148  1.6127589 -0.218022470 -0.109319691 -0.693633351  0.040947567
## 149  2.1759518 -0.751694021 -0.447572195 -0.146373105 -0.234346190
## 150  1.1579055  0.122941169  0.832528790 -0.514935459  0.078453264
## 151  1.5059057 -0.338862684 -0.093184299 -0.044012000 -0.028177032
## 152  0.3981430  0.306238225  0.143511474  0.334968948  0.007296049
## 153  1.2710431  0.101328609  1.092940797 -0.223326861  0.021571120
## 154  2.4163382 -0.253471252 -0.501671262 -0.232069261  0.155698145
## 155  1.7186480 -1.158895726 -1.411826401  0.561535468 -1.388681304
## 156  1.6349890 -1.261099081 -1.284238208  0.488042452 -0.968696427
## 157  2.0658547  0.301493296  0.529148305 -0.748444833 -0.051988351
## 
## $cos2
##          Dim.1        Dim.2        Dim.3        Dim.4        Dim.5
## 1   0.45773369 3.228743e-04 9.697533e-02 3.843658e-02 7.507861e-02
## 2   0.51970137 5.070118e-03 2.057548e-01 2.455916e-03 6.580968e-02
## 3   0.43194581 2.663340e-02 1.219319e-01 4.283749e-02 3.504740e-01
## 4   0.83430803 8.428731e-03 5.650220e-04 9.017515e-03 1.333281e-02
## 5   0.83977163 7.153243e-04 1.459751e-03 7.408978e-04 1.957976e-02
## 6   0.47769672 1.185672e-01 4.219918e-02 3.334431e-02 7.497707e-02
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## 147 0.77507882 5.448349e-02 5.953582e-04 1.281234e-03 8.615290e-03
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## 153 0.39055611 2.482145e-03 2.887727e-01 1.205715e-02 1.124885e-04
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## 157 0.70884571 1.509759e-02 4.650579e-02 9.304044e-02 4.489151e-04
## 
## $contrib
##          Dim.1        Dim.2        Dim.3        Dim.4        Dim.5
## 1   1.46089019 5.186826e-03 1.907490e+00 9.162096e-01 2.106750e+00
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## 47  0.10998835 2.581074e-04 9.075066e-02 3.639726e-02 1.227812e-01
## 48  0.39792759 1.171621e-03 1.589513e-01 1.958979e-01 6.099805e-02
## 49  0.14184597 4.388526e-01 3.265640e-01 3.259949e-01 4.748269e-01
## 50  0.11646148 8.999573e-04 5.868311e-01 3.947363e-02 4.387855e-02
## 51  0.14109987 1.097661e-02 1.630001e-01 2.474994e-02 2.109553e-02
## 52  0.15761829 6.738276e-01 9.581385e-02 1.667576e-01 6.832406e-01
## 53  0.14272488 8.229659e-04 1.500845e-01 4.706335e-01 2.107779e-01
## 54  0.10779222 3.417386e-02 1.720667e-02 2.967235e-01 1.422728e-01
## 55  0.09435708 4.104871e-02 1.197466e-04 2.210601e-01 4.325807e-02
## 56  0.08235719 5.281795e-03 1.827835e-02 9.083100e-03 2.960164e-02
## 57  0.12841070 1.063345e-01 8.349185e-03 1.505317e-01 5.274811e-01
## 58  0.15861562 1.694882e-01 4.199331e-02 3.141682e-01 3.973954e-01
## 59  0.02178221 1.305912e-03 3.869762e-02 9.485317e-02 6.010940e-02
## 60  0.17176030 6.820532e-02 8.612161e-03 1.164523e-01 1.582773e-01
## 61  0.33256722 3.731771e-01 2.022334e-01 2.066404e-01 4.786765e-01
## 62  0.20507897 3.511508e-01 4.112544e-01 3.071216e-01 1.605838e-01
## 63  0.15145323 9.273415e-02 2.680597e-01 8.101199e-01 8.463851e-03
## 64  0.12390412 3.534316e-02 1.423822e-01 2.826733e-01 4.522388e-02
## 65  0.10286183 7.568690e-02 1.529527e-01 4.013081e-01 1.602822e-01
## 66  0.15344533 1.956045e-01 2.772523e-05 1.092039e-01 4.054346e-02
## 67  0.14396834 1.795255e-02 6.561749e-05 4.821038e-02 9.936195e-03
## 68  0.41902675 4.675423e-01 1.415633e-01 4.296012e-02 1.311704e+00
## 69  0.19811831 3.226293e-02 2.452534e-01 2.635090e-02 2.790807e-01
## 70  0.07330993 6.676582e-01 8.465450e-01 1.264010e-03 1.519549e+00
## 71  0.56295903 2.472027e-01 1.473046e-01 7.741655e-03 1.421851e-01
## 72  0.14543519 4.859068e-03 1.345720e-01 1.066417e+00 1.941565e-02
## 73  0.17783553 4.438389e-01 4.448788e-01 2.598144e-03 1.170455e+00
## 74  0.21250376 6.198175e-02 4.218171e-03 1.494680e-03 1.106852e-02
## 75  0.14984900 7.870442e-02 8.003089e-03 7.932576e-03 2.017148e-04
## 76  0.23385703 2.491446e-02 4.545208e-01 5.509038e-01 6.868838e-02
## 77  0.19507101 1.121240e-01 1.235923e-03 1.055980e-02 3.819034e-01
## 78  0.04756472 1.210000e-01 5.931316e-01 8.035499e-02 3.546456e-02
## 79  0.11919233 1.212724e+00 8.714195e-01 7.192410e-03 1.026111e+00
## 80  0.30063515 6.156746e-02 1.178632e-02 1.472507e-02 9.964100e-02
## 81  0.06902270 2.915389e-01 3.001108e-01 3.581274e-06 3.129719e-01
## 82  0.11781851 1.797120e-03 3.795340e-02 1.724516e-01 1.421786e-01
## 83  0.24378916 9.699414e-02 2.028698e-01 7.478438e-01 3.017665e-01
## 84  0.11141478 1.093615e-01 1.170971e-01 4.905834e-02 1.277766e-02
## 85  0.13404214 2.811569e-01 1.460641e-01 8.088931e-03 5.265426e-02
## 86  0.07455684 1.228704e-01 3.750895e-02 5.347081e-01 1.012554e-01
## 87  0.22841250 2.450910e-02 3.753111e-01 1.990624e-03 9.242826e-02
## 88  0.23623638 3.543074e-02 1.343884e-01 2.123467e-02 2.653708e-02
## 89  0.12896433 4.485568e-03 6.046926e-04 4.781529e-01 9.355597e-03
## 90  0.02483526 1.738960e-02 2.049323e-02 6.825695e-02 2.160047e-01
## 91  0.33198715 4.420534e-02 1.185688e-01 5.569745e-01 1.600778e-02
## 92  0.21355808 2.327678e-01 2.036394e-01 7.080150e-02 4.891179e-01
## 93  0.06231493 4.395846e-01 1.712395e-01 3.757686e-02 5.653047e-01
## 94  0.16823183 2.977522e-02 1.977247e-02 6.769710e-02 1.421479e-03
## 95  0.19966014 3.592777e-03 2.455539e-02 6.318757e-01 2.828551e-02
## 96  0.10768800 2.198522e-03 1.516201e-06 2.391977e-02 4.687847e-04
## 97  0.27979070 1.212846e-03 1.148303e-01 1.305082e+00 3.362745e-03
## 98  0.34627712 8.786086e-02 2.657997e-01 1.111834e-01 2.149811e-02
## 99  0.11677919 7.618420e-04 5.658136e-01 5.220418e-02 2.573319e-01
## 100 0.36176030 9.023341e-01 3.038789e-01 6.703609e-02 1.034036e+00
## 101 0.06111089 3.815791e-01 1.008379e-01 2.765838e-02 8.341184e-02
## 102 0.36658565 1.042602e-01 1.401419e-02 1.088558e-03 2.978069e-02
## 103 0.18665859 9.974756e-03 8.282240e-01 8.436982e-01 1.180527e-03
## 104 0.10327799 3.104699e-01 1.054867e+00 3.016114e-02 3.922546e-01
## 105 0.29020483 3.176732e-01 1.935322e-01 4.218995e-02 6.349686e-02
## 106 0.09311305 2.674830e-02 8.942545e-01 7.378050e-03 6.207988e-01
## 107 0.25016566 1.706365e-02 7.891911e-02 3.286093e-02 4.069383e-02
## 108 0.35279992 3.473954e-01 1.441139e-01 1.643797e-01 3.546126e-01
## 109 0.10284989 3.158918e-01 4.171017e-01 5.329748e-02 5.352230e-01
## 110 0.28472091 3.331655e-01 1.034151e+00 3.304267e-01 3.082052e-01
## 111 0.39163958 7.173037e-02 1.460926e-02 1.093794e-02 1.946962e-04
## 112 0.32129457 2.182148e-03 4.982158e-02 1.845564e-02 8.097070e-02
## 113 0.10862110 1.319200e-02 9.864926e-01 3.144218e-01 1.868685e-02
## 114 0.14434020 1.748512e-01 3.943714e-02 3.411639e-03 1.347461e-01
## 115 0.22415485 2.434584e-01 2.930791e-02 7.562064e-03 1.294037e-03
## 116 0.30038761 2.065792e-01 3.648019e-02 2.472017e-01 2.294063e-02
## 117 0.29388286 4.803586e-01 1.885545e-01 1.907367e-01 4.951164e-01
## 118 0.55697047 2.244860e-01 8.420530e-02 6.031151e-02 8.642433e-03
## 119 0.06029933 6.265864e-01 3.462115e-02 1.952337e-02 1.112947e+00
## 120 0.10238854 4.846161e-02 6.367960e-03 3.639593e-01 2.126320e-01
## 121 0.24241218 9.002349e-02 1.047426e+00 1.157875e+00 7.565552e-01
## 122 0.25600938 3.594052e-01 3.383945e-01 6.010401e-02 2.495649e-01
## 123 0.37914573 3.752600e-01 6.254537e-01 5.338909e-02 4.635513e-01
## 124 0.17244559 1.469377e-02 2.698580e-01 1.065907e+00 1.063684e-01
## 125 0.04914149 4.123155e-01 2.163767e-01 2.458573e-01 9.530192e-01
## 126 0.23414720 3.508570e-01 1.047558e-05 2.212230e-02 9.187815e-01
## 127 0.35144199 5.720334e-02 4.366668e-01 9.650861e-01 1.072413e-01
## 128 0.36490947 1.259874e-01 2.700161e-01 6.555828e-01 4.394016e-02
## 129 0.02684883 8.263481e-01 4.161391e-01 8.455437e-02 1.401180e+00
## 130 0.14433874 3.136528e-01 9.356081e-02 2.990746e-01 7.423591e-01
## 131 0.52709500 6.349429e-01 1.296502e-01 6.165648e-02 2.068960e-02
## 132 0.22864221 7.808337e-01 1.019295e+00 1.030381e-03 1.017457e+00
## 133 0.09047534 2.310759e-01 1.281474e-01 1.927908e-02 3.321003e-01
## 134 0.24278784 3.794695e-01 9.650658e-01 6.675486e-01 1.397950e+00
## 135 0.15971395 3.354897e-01 2.481556e-01 5.354731e-02 1.263899e+00
## 136 0.47089509 1.868543e-01 9.532243e-02 1.118094e-02 5.981571e-01
## 137 0.12936425 1.400439e-02 5.385861e-01 2.331622e-01 2.883451e-01
## 138 0.34490283 2.753260e-02 5.599812e-02 1.116756e+00 2.963805e-01
## 139 0.17934721 3.812489e-02 1.070333e-01 5.543435e-01 1.035663e-03
## 140 0.58373130 1.950404e-01 3.593864e-03 2.099027e-01 1.381669e-03
## 141 0.11491647 1.083088e-02 1.544941e+00 1.386206e+00 8.051497e-01
## 142 0.07958616 5.631651e-01 3.504898e-01 3.895008e-01 2.784488e-01
## 143 0.26951498 1.515449e-01 6.583710e-01 6.202443e-02 1.261775e-01
## 144 0.42496365 1.154041e-01 2.311556e-03 2.874247e-01 1.356888e-03
## 145 0.46673461 7.755549e-01 1.283533e+00 8.331200e-02 1.047453e+00
## 146 0.30917508 1.787981e-01 1.547337e-03 6.948293e-03 4.534856e-02
## 147 0.42505545 1.503932e-01 2.012215e-03 5.247757e-03 4.153954e-02
## 148 0.26757384 2.461335e-02 7.577009e-03 3.696665e-01 1.516537e-03
## 149 0.48708338 2.925839e-01 1.270069e-01 1.646163e-02 4.967211e-02
## 150 0.13792755 7.826416e-03 4.394400e-01 2.037304e-01 5.566970e-03
## 151 0.23329225 5.945875e-02 5.505370e-03 1.488306e-03 7.181040e-04
## 152 0.01630733 4.856094e-02 1.305793e-02 8.621032e-02 4.814734e-05
## 153 0.16619781 5.316581e-03 7.573460e-01 3.832058e-02 4.208644e-04
## 154 0.60064823 3.326792e-02 1.595657e-01 4.137951e-02 2.192622e-02
## 155 0.30386356 6.954357e-01 1.263757e+00 2.422727e-01 1.744223e+00
## 156 0.27500112 8.235059e-01 1.045664e+00 1.830060e-01 8.487353e-01
## 157 0.43904022 4.706777e-02 1.775235e-01 4.303975e-01 2.444606e-03
## 
## $dist
##          1          2          3          4          5          6          7 
##  5.5699329  4.9102324  5.3140520  5.6561130  4.2823859  4.5421673  3.8824552 
##          8          9         10         11         12         13         14 
##  5.6403469  3.7129919  3.9316927  3.6819660  4.9290728  7.2813703  3.4350943 
##         15         16         17         18         19         20         21 
##  3.5142230  3.9568409  4.9105044  4.2047702 13.3253684  6.3178606  4.6058458 
##         22         23         24         25         26         27         28 
##  2.7749549  5.4737304  7.5089823  2.3338990  5.4022510  5.1225517  4.2827942 
##         29         30         31         32         33         34         35 
##  4.3955172  5.2623307  5.9717494  6.7779225  6.1018491  5.2048416  3.3792542 
##         36         37         38         39         40         41         42 
##  6.5588953  4.3823505  7.0453436  5.3943771  7.2626633  5.1542523  9.5493820 
##         43         44         45         46         47         48         49 
##  1.9948279  3.2035929  2.0437726  2.2186699  1.6885698  2.5097506  2.0796749 
##         50         51         52         53         54         55         56 
##  1.7354965  1.4579393  2.1564867  1.9440239  1.6861819  1.5439012  1.2679898 
##         57         58         59         60         61         62         63 
##  1.8495442  2.0226186  1.3751332  1.7564565  2.3545091  2.3277331  2.0872320 
##         64         65         66         67         68         69         70 
##  1.9368616  1.8357466  1.8624529  1.7674620  2.6570762  2.0589138  2.3544957 
##         71         72         73         74         75         76         77 
##  2.6297312  2.3453084  2.4083749  1.7151761  1.5670683  2.3058192  1.9091180 
##         78         79         80         81         82         83         84 
##  1.5969994  2.7282209  2.1368061  1.9621520  1.6580067  2.1428757  1.9536104 
##         85         86         87         88         89         90         91 
##  1.7998994  1.5040470  1.9749238  2.0093743  1.7855681  1.0968152  2.3824043 
##         92         93         94         95         96         97         98 
##  2.3722440  1.6821050  1.7081650  2.1622196  1.2788732  2.6119624  2.2430102 
##         99        100        101        102        103        104        105 
##  1.9346524  2.8419735  1.6050024  2.2293321  2.5131947  2.1367955  2.1406807 
##        106        107        108        109        110        111        112 
##  2.1644381  2.0137216  2.3757136  2.0915078  2.7379533  2.2394034  2.3651286 
##        113        114        115        116        117        118        119 
##  2.2354062  1.5022124  2.4015695  2.2779375  2.6065005  2.5956718  1.9877926 
##        120        121        122        123        124        125        126 
##  1.6671169  2.9199383  2.3321466  2.7268725  2.1111916  2.0819219  2.0814853 
##        127        128        129        130        131        132        133 
##  2.6487327  2.4300666  2.1230380  2.1302910  2.8256517  2.7362881  1.6146590 
##        134        135        136        137        138        139        140 
##  3.0181214  2.1984603  2.5377583  1.9282301  2.4482788  1.9625197  2.8124903 
##        141        142        143        144        145        146        147 
##  2.6835547  2.1502211  2.2154770  2.4932173  3.1497353  2.1941068  2.3088593 
##        148        149        150        151        152        153        154 
##  2.1024317  2.5468580  1.7087856  1.9807936  0.9441065  2.0338483  2.6573462 
##        155        156        157 
##  2.9659049  2.8726015  2.4537138
res.PCA$eig 
##         eigenvalue percentage of variance cumulative percentage of variance
## comp 1  6.19149576             51.5957980                          51.59580
## comp 2  1.23007637             10.2506364                          61.84643
## comp 3  1.00461420              8.3717850                          70.21822
## comp 4  0.82899173              6.9082644                          77.12648
## comp 5  0.70421213              5.8684344                          82.99492
## comp 6  0.56488338              4.7073615                          87.70228
## comp 7  0.43034347              3.5861956                          91.28848
## comp 8  0.33736597              2.8113831                          94.09986
## comp 9  0.27688069              2.3073391                          96.40720
## comp 10 0.19794496              1.6495413                          98.05674
## comp 11 0.14283932              1.1903276                          99.24707
## comp 12 0.09035202              0.7529335                         100.00000

Kaiser Criteria shows that we should choose the first 3 components.

barplot(res.PCA$eig[,1], main = "eblouis des valeurs propres", names.arg = paste("eig", 1:nrow(res.PCA$eig)))

plotellipses(res.PCA) 

ACP avec Factoextra

library(factoextra)
fviz_pca_ind(res.PCA, geom = c("point", "text"), repel = TRUE, col.ind = "coord")
## Warning: ggrepel: 115 unlabeled data points (too many overlaps). Consider
## increasing max.overlaps

fviz_pca_ind(res.PCA, repel = TRUE, col.var="contrib")
## Warning: ggrepel: 115 unlabeled data points (too many overlaps). Consider
## increasing max.overlaps

scale_color_gradient2(low = "green", mid = "red", high = "blue", midpoint = 0.5)
## <ScaleContinuous>
##  Range:  
##  Limits:    0 --    1
fviz_pca_var(res.PCA, col.var = "cos2", gradient.cols=c("#00AFBB"))

fviz_pca_biplot(res.PCA, col.var = "cos2", gradient.cols = c("#00AFBB", "#E7B800", "#FC4E07"), repel = TRUE)
## Warning: ggrepel: 118 unlabeled data points (too many overlaps). Consider
## increasing max.overlaps

CAH (HCLUST)

y=data[,1:12] # Active variables
y
## # A tibble: 157 x 12
##      age `specific grav~` albumin `blood glucose~` `blood urea` `serum creatin~`
##    <dbl>            <dbl>   <dbl>            <dbl>        <dbl>            <dbl>
##  1    48             1.00       4              117           56              3.8
##  2    53             1.02       2               70          107              7.2
##  3    63             1.01       3              380           60              2.7
##  4    68             1.01       3              157           90              4.1
##  5    61             1.01       2              173          148              3.9
##  6    48             1.02       4               95          163              7.7
##  7    69             1.01       3              264           87              2.7
##  8    73             1.00       0               70           32              0.9
##  9    73             1.02       2              253          142              4.6
## 10    46             1.01       1              163           92              3.3
## # ... with 147 more rows, and 6 more variables: sodium <dbl>, potassium <dbl>,
## #   hemoglobin <dbl>, `packed cell volume` <dbl>,
## #   `white blood cell count` <dbl>, `red blood cell count` <dbl>
md=dist(scale(y), method = "euclidian")
md
##              1          2          3          4          5          6
## 2    4.0381344                                                       
## 3    5.2485265  6.5269082                                            
## 4    4.7049802  4.2691018  5.0420082                                 
## 5    5.0067247  3.9567711  4.5171584  2.3768706                      
## 6    5.6804640  4.0407549  6.1373353  4.8084656  3.3497374           
## 7    4.1520781  4.8825464  2.6835656  4.1128729  3.4093009  5.0154048
## 8    5.6236219  4.9860227  7.2257598  4.7217836  5.2947164  7.3217188
## 9    5.8756750  5.0183678  3.7033757  4.3897271  2.6005668  3.7465750
## 10   5.5121880  4.7052636  5.3096250  3.5054387  2.8627700  4.9182974
## 11   4.0408039  3.2514230  4.5546366  3.0781395  1.9569229  2.8499351
## 12   3.8172544  4.6643187  4.9318859  4.2513847  3.5983627  3.9048539
## 13   6.5406000  5.7663405  7.2586411  5.0312111  4.6845802  4.5114441
## 14   5.6218070  6.1428470  3.2119560  5.0673071  4.2727479  5.7160528
## 15   5.6662229  6.1430309  5.2525845  6.6333817  5.8550734  6.0338397
## 16   3.9815832  4.8545698  2.6884133  3.4238433  2.7686425  4.3771056
## 17   5.3861292  5.8084081  2.5374708  3.7113535  3.0802077  4.8798717
## 18   5.2386092  4.0539807  5.8036807  4.0318822  3.3993180  3.9038612
## 19  13.6791275 13.3336938 12.9283898 12.1319794 12.2131615 12.7920422
## 20   6.2734466  4.4869311  6.9692652  3.9456331  3.4457795  4.7020257
## 21   6.0333611  5.8936848  6.3623860  6.4919553  5.4722585  5.3126660
## 22   4.1555196  4.1992283  4.8527324  3.5299122  3.0957310  4.5549115
## 23   5.1444216  5.2785880  4.0643609  3.3030259  3.9048782  6.1374586
## 24   7.2288515  5.8212286  6.6511009  5.2977509  4.6394805  5.6882763
## 25   5.3009110  4.5307723  5.1834603  5.0394531  4.0329578  3.7003562
## 26   4.4791749  2.9329583  6.1163502  3.5720174  4.1271643  5.1413460
## 27   3.6648644  4.2376124  5.9387576  4.0505441  4.4538437  5.2795007
## 28   6.5767078  4.4175841  6.9897159  5.0409132  4.5892343  5.1088881
## 29   4.4077098  5.1966537  2.7995245  3.0643186  2.9402772  4.4947777
## 30   5.6032798  5.5602499  7.1462193  5.6403869  5.4674637  5.9570345
## 31   4.2303368  3.2489566  5.9371071  3.8042240  3.5426015  3.9498942
## 32   8.0691972  6.7085703  7.6058896  6.3793202  6.5004559  7.4595370
## 33   5.9622177  5.0525270  4.9821858  3.9460985  3.5821274  4.1503281
## 34   5.3903230  4.5982976  4.6593224  4.6545275  3.5606316  3.6452207
## 35   4.1215049  4.8201104  2.9839904  3.5331049  2.7348345  4.1555115
## 36   6.9168634  7.5218384  3.1548141  6.3648513  5.7959576  7.5184715
## 37   4.8952661  4.6703694  4.3717506  2.9657263  2.8250470  3.4774385
## 38   5.4339758  4.2650340  6.3182906  5.2064940  4.9384302  5.7525624
## 39   3.3574403  3.5390038  4.1554590  2.8532961  3.2648745  4.7041172
## 40   5.8705340  4.6214703  7.2379269  5.5522832  4.9243534  4.2094212
## 41   6.7104831  7.2342140  2.7653673  5.9968949  5.2194423  7.1492018
## 42   7.8574168  7.0275499  8.2406444  6.0615490  5.8250690  6.2470014
## 43   6.4068756  5.4584269  6.2723436  6.7935462  5.6358621  5.6931797
## 44   8.0457844  7.2057721  7.9517314  8.3126063  6.8942122  6.3696903
## 45   7.2847314  6.2819589  6.9936139  7.1744778  5.7192092  5.5036606
## 46   6.5170657  5.8975639  6.3180949  7.1630453  5.9250975  5.9114337
## 47   6.2450765  5.2395860  6.3576321  6.6617751  5.3370372  5.2871586
## 48   7.4191518  6.6170669  7.0622918  7.7868643  6.3826994  6.1553914
## 49   7.2353228  6.2080737  6.4274766  6.6763172  5.5128394  5.8748458
## 50   5.9407783  5.3697745  6.4494804  6.7612577  5.5299170  5.6587198
## 51   6.1891753  5.7158267  6.2631726  6.6357344  5.4274116  5.6535608
## 52   5.9527513  5.9044365  6.1746706  7.1098712  5.8077015  5.6939443
## 53   6.8850281  6.3251929  6.3878673  6.9361224  5.5457613  5.7154930
## 54   6.0922370  5.8860888  5.8069405  6.7259344  5.4057394  5.5442554
## 55   5.8094328  5.4992791  5.8130479  6.5543283  5.3934564  5.7039153
## 56   6.0191181  5.4727156  6.0344612  6.6296351  5.2915146  5.4738412
## 57   6.2095763  6.1049992  5.7674542  6.8244802  5.4903132  5.5913273
## 58   7.1964658  6.4370329  6.7135571  6.8455030  5.5248769  5.7988573
## 59   5.6104954  5.2179395  5.3749401  5.9880909  4.8670433  5.4001612
## 60   7.1155180  6.1211380  6.4742183  6.8699401  5.4652730  5.4758017
## 61   7.0473143  6.4497026  6.7630333  7.5904204  6.2078147  5.8730664
## 62   7.0446416  6.2782344  6.7256902  7.1763086  5.7480901  5.4696941
## 63   6.9049198  5.9420879  6.7400729  6.7869644  5.4957263  5.4011498
## 64   6.2947827  5.7110673  5.8362252  6.7876131  5.5411163  5.6205512
## 65   6.1035297  5.9881914  5.6944173  6.6939106  5.4292734  5.5934883
## 66   6.3614991  5.6703955  6.1914837  7.0642739  5.6168433  5.3937551
## 67   6.6436735  5.9990946  6.4341262  6.9076013  5.5777609  5.8304590
## 68   7.0936343  6.7158404  6.7163779  7.9351152  6.5091564  6.1734449
## 69   7.3901121  6.4101475  6.5700335  7.1230433  5.6512782  5.7231174
## 70   5.8640217  5.7013250  6.0857398  6.8949862  5.5354198  5.4615567
## 71   7.3479149  6.7844898  7.2258439  8.1910572  6.7031510  6.1967745
## 72   6.0902848  5.9124006  6.1675848  6.8965179  5.7773110  6.0288148
## 73   7.0498255  6.3622549  6.7839988  6.9035888  5.8247767  6.2378288
## 74   6.5539275  6.1805896  6.4560015  7.0314133  5.7069697  5.7325787
## 75   6.6255107  5.8069572  6.1880669  6.8466157  5.3942929  5.3600074
## 76   6.6342948  6.0858573  6.9864321  7.4170919  6.1188206  6.0395587
## 77   6.4394632  6.2256196  6.1613941  7.1356579  5.7726434  5.8954971
## 78   5.7567337  5.0882708  6.2721659  6.4481331  5.1422778  5.2004958
## 79   7.5080073  6.7571829  6.5868568  7.0013348  5.6980968  6.1698699
## 80   7.2670855  6.5052680  6.8088688  7.3037582  5.8889464  5.6689590
## 81   6.0916935  5.3739606  5.9858559  6.5933869  5.2047646  5.0937358
## 82   6.1912952  5.7435100  6.1584097  6.7688276  5.5650739  5.8141882
## 83   6.5404449  6.4791840  6.0609105  7.3621528  5.9788720  5.9852696
## 84   6.9483238  6.5132798  5.9801310  6.5638257  5.2849865  5.6965035
## 85   6.2343065  5.3386885  6.5272181  6.7998452  5.4227464  5.1814062
## 86   6.4257546  5.6068888  6.3593674  6.3472077  5.1860177  5.6209416
## 87   7.2702086  6.4863630  6.3426697  7.0322387  5.6822559  5.7680020
## 88   6.7321264  6.3315077  6.4953896  7.2381100  5.9569943  6.0278333
## 89   7.0165161  6.0360501  6.3933992  6.7946473  5.3415599  5.3720971
## 90   5.9168602  5.2206594  5.8182832  6.0015059  4.6970639  5.1026116
## 91   6.8710501  6.2869590  6.5668657  7.6172412  6.2605314  6.0970249
## 92   7.4498245  6.7129991  6.8743012  7.2375408  5.8807856  6.1398932
## 93   6.5793458  5.8309163  6.1195891  6.3518758  5.0798423  5.5202444
## 94   6.8571883  6.0595384  6.2615764  6.9286667  5.5263439  5.4360319
## 95   6.5972326  6.1764459  6.4569540  7.2140657  5.8212368  5.9032282
## 96   6.2454323  5.7424125  6.0837963  6.5410720  5.3063930  5.5680236
## 97   7.7178940  6.7270909  7.1334639  7.4302687  6.0558331  6.0081945
## 98   7.2158248  6.4080599  7.0794653  7.4130008  6.0290311  5.6775021
## 99   7.1084042  6.2739900  6.0855508  6.6436062  5.1910984  5.3075835
## 100  6.8707140  6.8270838  6.8810594  7.9385908  6.4766528  6.1115376
## 101  6.3821344  5.6414735  6.0089790  6.4848516  5.2153364  5.7577115
## 102  7.1023732  6.3132458  6.9896347  7.6031177  6.1704025  5.8846333
## 103  7.0061989  6.8621833  6.0440577  7.1794508  5.8039903  5.9701394
## 104  5.9365485  5.5570029  6.4515528  6.8238387  5.5131459  5.4449758
## 105  6.9263074  6.2154868  6.7760015  7.3444524  5.9490901  5.6692879
## 106  7.3463284  6.4194219  6.1682021  6.5264347  5.1245145  5.3812911
## 107  6.4599124  6.0673206  6.6268256  7.3313203  5.9658700  5.9782310
## 108  6.6298024  6.1629509  6.6783795  7.7238316  6.2986070  5.9085022
## 109  7.0095126  6.4295914  6.2288985  6.4948731  5.2477545  5.6879751
## 110  6.8716658  6.1315729  7.0990036  7.5409049  6.2837561  6.0149058
## 111  7.2384979  6.5916068  6.8413810  7.6217672  6.2386403  5.9959272
## 112  7.0723267  6.7291519  6.7700197  7.3722280  6.0841326  6.1788651
## 113  6.3100823  5.6705173  6.7782230  6.9233341  5.6399957  5.6198162
## 114  6.3427827  5.9322188  6.2197404  6.9014908  5.4693169  5.4666332
## 115  7.1515784  6.7812693  6.6953853  7.1586779  5.7608666  5.7053123
## 116  7.2291739  6.5559493  6.7842223  7.2485510  5.9056782  5.7332778
## 117  6.9522878  6.7210931  6.8533999  7.5399886  6.2090673  6.0025636
## 118  7.4612269  6.8139216  7.3452308  8.0592800  6.6079938  6.2087165
## 119  6.6679850  5.4203076  6.3801130  6.2791315  5.1889827  5.5308161
## 120  5.9656650  5.7519105  5.7913484  6.6050334  5.3344270  5.5175129
## 121  7.3141269  6.9522827  6.7472800  7.4667027  6.0987387  6.1582487
## 122  6.4947394  5.9132635  6.6267025  7.3907249  5.9961711  5.7395447
## 123  6.5502010  6.4402279  7.0207013  7.7327391  6.4804720  6.2166346
## 124  6.9958203  5.9261414  6.9345906  6.8877075  5.6649843  5.5708357
## 125  6.5116093  5.3999531  6.1397295  6.4104008  5.1385917  5.4197452
## 126  6.9436688  5.8913824  6.9062815  6.9946444  5.8310338  5.8828011
## 127  7.1822658  6.5659857  6.6707825  7.7881012  6.3750266  6.2466842
## 128  7.4381052  6.4980955  7.3424705  7.5974100  6.1791740  5.8920945
## 129  6.6856466  5.8006083  6.1712572  6.1719152  4.9466843  5.5715917
## 130  6.5306747  5.8713508  6.5978412  6.9599981  5.7267802  5.9163490
## 131  7.5286055  6.9191667  7.4396268  8.1358493  6.6160748  6.0438115
## 132  7.6153680  6.9394020  6.8678819  7.2937400  6.0911840  6.4580388
## 133  6.7722139  5.7300722  6.0819563  6.5371833  5.1539813  5.3429266
## 134  7.6641816  6.7867846  6.8979388  7.4630674  6.1298679  6.2574393
## 135  6.8478141  6.1199196  6.7541389  6.8822828  5.6706231  5.9822411
## 136  7.6198513  6.8023449  7.2208669  7.7687021  6.4542486  6.2376243
## 137  6.6879097  6.2569544  6.1645749  6.6405270  5.3807127  5.6629528
## 138  6.8701099  6.2430306  6.8452039  7.5746859  6.1582586  5.8621737
## 139  6.3649230  6.1013657  6.1158851  7.0433802  5.7716650  5.8691774
## 140  7.1287607  6.6197086  7.3168210  8.1599121  6.8386419  6.4452942
## 141  7.0287956  6.3049081  6.2014130  6.9233155  5.5571432  5.6913689
## 142  7.1494197  6.4184002  6.2744318  6.5165763  5.3623112  5.9050515
## 143  7.1134634  6.7188613  6.4948748  7.2987899  6.0146603  6.2116447
## 144  7.1849943  6.6112837  6.9117560  7.7859095  6.2939794  6.0096599
## 145  6.9559015  6.5436034  7.3331673  8.1773599  6.8582891  6.2894636
## 146  6.9689910  6.4534617  6.8486794  7.3679520  6.1668860  6.3035236
## 147  7.1341130  6.4943002  6.9132110  7.8793352  6.3743461  6.0199472
## 148  6.4816744  5.8556570  6.5319882  7.3127805  5.9888985  5.7488904
## 149  7.1540588  6.6137765  7.1082027  7.8330728  6.4888348  6.1123795
## 150  6.8569364  6.4326305  5.9604153  6.8458052  5.3710010  5.6237649
## 151  6.9096444  6.1099156  6.5434168  7.2439981  5.7556649  5.5584534
## 152  5.9833674  5.2688952  5.5945680  5.9843727  4.6576890  5.1890845
## 153  7.1720446  6.7935258  6.0641601  7.0027531  5.5151412  5.7837685
## 154  7.3428299  6.6578492  7.4599684  8.1842504  6.7767102  6.2973410
## 155  6.5787638  6.4674205  6.9978962  7.8153013  6.5345677  6.2834233
## 156  6.8197380  6.1572221  7.0446603  7.8215441  6.3733737  5.9319731
## 157  7.2323360  6.6869507  6.6539881  7.8302411  6.4573929  6.2988820
##              7          8          9         10         11         12
## 2                                                                    
## 3                                                                    
## 4                                                                    
## 5                                                                    
## 6                                                                    
## 7                                                                    
## 8    5.2437196                                                       
## 9    2.8993778  6.5388325                                            
## 10   3.7604449  3.9194419  4.2059248                                 
## 11   3.4838666  5.4937566  3.0137560  3.4930166                      
## 12   3.7637624  6.4059545  4.2716725  4.4330802  2.7529972           
## 13   6.6606123  8.1942234  5.8052093  6.2397034  4.0471624  4.0272825
## 14   2.2803383  5.6649558  3.4869806  3.5888600  4.2549940  4.6695193
## 15   3.5290330  6.2375380  4.9330174  5.1595430  5.5123540  5.4552326
## 16   1.8402035  5.6687395  2.6840889  3.9179921  2.4773892  3.1187020
## 17   2.5473975  6.3603512  2.7984055  3.9956021  3.3842198  3.9151101
## 18   3.4809709  4.7670786  3.7862426  3.4532446  3.6752006  3.9487007
## 19  12.9266675 14.2648643 12.2314760 13.1454389 12.3910741 12.3414677
## 20   5.4047315  5.5328382  5.1883320  3.5641399  4.1809903  4.4767328
## 21   4.8400384  7.2091577  4.6272391  6.0980961  5.1097520  4.8047449
## 22   2.9810188  3.8010083  3.8490745  2.5473452  2.7749758  3.6482369
## 23   3.2341211  4.5513035  4.7183267  3.3510266  4.6042447  5.4192700
## 24   5.8116413  7.4325078  5.3790914  5.2578121  5.2020169  5.1882835
## 25   3.8482892  5.9958976  3.5667031  4.5097917  3.4809177  5.0175006
## 26   4.5300381  4.4356852  5.0177611  5.0579999  4.0524260  5.6389364
## 27   4.7957341  5.0687571  5.9592599  3.9431067  4.2250776  4.5703883
## 28   5.2627096  4.6721761  5.3074858  3.4968418  4.9544809  6.4083422
## 29   2.2868394  5.8128878  3.1611376  3.6768871  2.9288122  3.3269765
## 30   5.6635910  5.6648990  6.6213822  4.0970618  5.5391597  5.4057532
## 31   4.7971108  6.1511558  4.8680105  4.6545331  2.9308834  2.9408300
## 32   5.9891024  5.8164688  6.7572616  5.1940343  7.2195856  7.8427735
## 33   4.5661794  7.2377828  3.8755964  4.8504333  3.6427806  3.8929275
## 34   4.0683331  7.1510085  3.6377025  4.4324579  3.1787105  3.2119045
## 35   1.9219116  5.4858107  2.8624803  3.1035194  2.4489117  2.8494134
## 36   3.7273885  7.6686305  4.8526196  5.8566490  6.3921889  6.4707553
## 37   3.6539782  6.0185982  3.4179828  3.8219106  2.3879170  3.4156284
## 38   4.9525085  6.4015290  5.5230595  5.5228923  5.0183075  4.8260468
## 39   2.7308012  4.9995053  4.0678832  4.1648263  3.2170379  3.5579561
## 40   6.5150954  8.2909676  5.8277423  6.6040966  4.1275905  4.2185328
## 41   3.2415418  6.7916566  4.2344461  4.8201563  5.6351921  6.1413926
## 42   7.9759291  9.7178116  7.1012662  7.8508034  6.1662010  6.0476685
## 43   5.0130880  6.0795995  5.0856272  4.8990097  5.0403941  6.4220355
## 44   6.6938280  7.6241631  6.4129094  5.8705802  6.3632329  7.2335044
## 45   5.6328058  6.6758325  5.1489568  5.0550668  5.2824121  6.5369001
## 46   5.2377937  6.7855832  4.9137901  5.8857193  5.1737008  6.5096860
## 47   5.0086016  6.1332693  4.7167286  5.1183007  4.6845583  6.1334198
## 48   5.9219133  7.2130474  5.5848524  5.6949371  5.8480561  6.8267874
## 49   5.1366866  6.0756628  4.7398241  4.8124188  5.2575117  6.7326306
## 50   5.0270712  5.9035536  5.1641103  4.8734550  4.8544568  5.8899868
## 51   4.9846174  5.9634779  5.0133387  4.7134327  4.7963943  5.9526270
## 52   5.2398822  6.9150588  5.2419750  5.5663603  4.8355077  5.8430820
## 53   5.2551269  6.5131645  5.1013340  4.5127961  5.1369638  6.0837161
## 54   4.7332070  6.4626729  4.6867392  5.0748859  4.6292161  5.8175455
## 55   4.5329660  5.9009253  4.6917302  5.0238677  4.6378237  5.8828234
## 56   4.6033527  5.9550907  4.6679492  4.6986112  4.6485781  5.7143352
## 57   4.8927031  6.7035535  4.8471604  5.1311130  4.6954812  5.8315330
## 58   5.2588322  6.1028682  5.0182092  4.5195597  5.2334464  6.2580704
## 59   4.2691433  5.7333162  4.2291179  4.6835358  4.1385114  5.5744015
## 60   5.2257729  6.4468312  4.7639621  4.7988319  5.0739177  6.4241134
## 61   5.8655827  7.3617322  5.5723796  5.6180869  5.4941338  6.5957539
## 62   5.8429043  7.1831020  5.3614836  5.1342879  5.1708432  6.4256318
## 63   5.6419143  6.5324976  5.2712121  4.7273931  5.0064890  6.4156210
## 64   4.9094254  6.6733516  4.5440646  5.5801862  4.7783288  6.2699174
## 65   4.7399723  6.5557009  4.6745840  5.2049580  4.5919556  5.8319716
## 66   5.0554883  6.7950306  4.7679813  5.4934165  4.8539712  6.1508260
## 67   5.0260921  6.1982421  4.8385633  4.9390973  5.1069413  6.0441763
## 68   5.9309952  7.7224656  5.7116070  6.0366130  5.7790998  6.7864704
## 69   5.3148128  6.7760564  4.6175326  5.2141431  5.3430957  6.5636998
## 70   5.2502206  6.8530980  5.2829599  5.1032745  4.6969638  5.7225089
## 71   6.1127293  7.6718744  5.8273763  6.1996494  5.9619486  6.8550243
## 72   4.9584993  6.3457644  4.9422350  5.7350621  4.9699005  6.1746426
## 73   5.2379710  5.9074540  5.0615837  5.2338656  5.4062986  6.5152539
## 74   5.2303107  6.5231707  5.1268411  5.0683842  5.0270157  6.0443071
## 75   5.0907459  6.7009484  4.5245669  5.2095050  4.8202217  6.1803280
## 76   5.5046224  6.3780685  5.7365244  5.1088450  5.5099399  6.3041161
## 77   5.0914141  6.7666127  4.9957265  5.3316773  5.1125846  6.0701620
## 78   4.8920505  5.8706344  4.9439970  4.5380819  4.4137905  5.5241184
## 79   5.0122125  6.0985452  4.8141546  4.9162263  5.5529337  6.5902229
## 80   5.6930842  7.0390067  5.1854939  5.3666666  5.3337967  6.6061544
## 81   5.1073630  6.6619988  4.7878809  5.0371550  4.4812796  5.9935690
## 82   4.8288121  6.0028321  5.0258656  4.7583173  4.9602678  6.0429237
## 83   5.1013262  7.0968631  4.9388962  5.8109098  5.1534046  6.0667125
## 84   5.0020696  6.3723546  4.7502024  4.4565810  4.9079462  6.1404986
## 85   5.2789424  6.4742760  4.9293056  5.2752535  4.6651838  6.0704053
## 86   4.8664009  5.4736415  4.8384757  4.2273080  4.7934910  5.9647516
## 87   5.3181969  6.8391128  4.6806843  5.3201169  5.2180307  6.5608497
## 88   5.0680821  6.3731971  5.1609439  5.2803104  5.3084762  6.2707115
## 89   5.2178610  6.5366422  4.7485925  4.6459716  5.0053867  6.3574629
## 90   4.3489367  5.5408222  4.1634528  4.3406262  4.1279086  5.5171819
## 91   5.2827188  6.9151725  5.1516607  6.0190918  5.5595861  6.7453053
## 92   5.3871272  6.4431462  5.0450784  5.0686337  5.5996813  6.4752873
## 93   4.5738779  5.6091549  4.4102216  4.4602562  4.6902673  5.9359067
## 94   5.1756114  6.6978272  4.7917255  5.0019981  4.9616886  6.3238052
## 95   5.1327453  6.6362491  4.8767782  5.6092590  5.1680392  6.0678936
## 96   4.7778263  5.9580177  4.7509721  4.6227384  4.6886574  5.8714748
## 97   6.0115703  7.0139249  5.5178902  5.1040627  5.7732579  6.8739908
## 98   5.9620608  7.0411657  5.5550592  5.3605102  5.4057007  6.6057684
## 99   5.0743328  6.7189904  4.2931036  5.0202788  4.7830351  6.2908562
## 100  5.9920391  7.7265473  5.8792044  5.9823806  5.6323072  6.3367802
## 101  4.3870716  5.5270519  4.4091841  4.5844378  4.8800252  5.9800416
## 102  5.7590426  7.0951775  5.3167288  5.8309350  5.5250277  6.5818070
## 103  5.0842288  7.0326018  4.8228524  5.5129089  5.2067532  6.3166219
## 104  5.3299148  6.4377182  5.3799663  4.9422012  4.7315001  5.7762736
## 105  5.7905668  7.1563443  5.3250144  5.5356724  5.2690849  6.4601731
## 106  5.1607803  6.6703356  4.2332924  4.9203627  4.8504124  6.4024268
## 107  5.2618077  6.5586955  5.2404496  5.4852732  5.2967009  6.1319010
## 108  5.6504738  7.3440567  5.4518781  6.0831062  5.4534064  6.5358605
## 109  4.9782811  6.1114879  4.6155286  4.6341523  4.8955958  6.1902498
## 110  6.1122375  7.1748726  5.8429401  5.7416788  5.5861775  6.6960442
## 111  5.7264358  7.1910850  5.3743741  5.7186022  5.6051317  6.7519091
## 112  5.7217624  6.9179195  5.4893870  5.3908283  5.5261445  6.4404013
## 113  5.3402368  6.1028651  5.5070702  4.6322811  5.0578169  6.0727319
## 114  5.0315297  6.5361185  4.8899889  4.9171042  4.7772862  5.7449222
## 115  5.6991343  7.0565039  5.3102871  5.1781503  5.1604737  6.1463187
## 116  5.8912341  7.1647337  5.4027942  5.3223128  5.3400750  6.6374300
## 117  5.8979875  7.2264518  5.8378190  5.4183493  5.4645109  6.3037945
## 118  6.1741937  7.5120504  5.8255719  6.0429832  5.9771446  6.9305993
## 119  4.8733868  5.4820874  4.5855991  4.6652070  4.8196352  6.4559334
## 120  4.8371342  6.4498001  4.6785159  5.1422326  4.5066030  5.7122742
## 121  5.4004863  6.9117469  5.1375327  5.8298055  5.5438644  6.5357145
## 122  5.6348586  7.1474562  5.3030538  5.8508068  5.2388011  6.4323960
## 123  5.9835953  7.1852054  6.0292468  5.9761498  5.5569066  6.3654698
## 124  5.6846120  6.3670497  5.3882933  4.7481626  5.1799509  6.5389150
## 125  4.6120025  5.7753864  4.2652702  5.0120866  4.7309493  6.3293825
## 126  5.3708861  5.9825421  5.1806509  5.2036639  5.3442888  6.7323593
## 127  5.3953850  7.1746360  5.0471083  6.2736208  5.7471502  6.8468434
## 128  6.0953670  7.0722957  5.6531308  5.4258555  5.7013509  6.7496252
## 129  4.5126831  5.3714611  4.2660351  4.4480237  4.7138213  6.0328686
## 130  4.8837572  5.8403871  4.9205753  5.2477008  5.1424161  6.1880235
## 131  6.3242067  7.7472977  5.9697596  6.0504700  5.9383350  6.8701793
## 132  5.3475556  6.3138685  5.1461666  5.3317948  5.7911142  6.7455011
## 133  4.7485044  6.1109431  4.2618527  4.7958111  4.7656116  6.2590347
## 134  5.5813730  6.9690976  4.8914049  6.0216885  5.7775329  7.0242524
## 135  5.0725187  5.8255284  4.9320065  5.1408677  5.2371804  6.3130857
## 136  5.8379043  6.9187303  5.5555348  5.7851099  5.8963044  7.0280734
## 137  4.9449787  6.2904181  4.6322305  5.0736727  4.7856078  6.0077315
## 138  5.5722380  7.0824563  5.1606712  6.1685767  5.4006438  6.6062019
## 139  4.8449751  6.3982246  4.9116568  5.3965305  4.9968439  6.0614315
## 140  6.1092954  7.4685866  5.8875780  6.5901194  6.0036966  6.9836590
## 141  5.0962686  6.8769125  4.3316029  5.8878885  5.0228439  6.4865904
## 142  4.9128997  5.8315325  4.7825313  4.2577718  5.1364342  6.3420708
## 143  5.1363049  6.5287947  5.0577601  5.4027640  5.4861245  6.4552554
## 144  5.8364896  7.4691049  5.3271532  6.1042649  5.6564138  6.7369086
## 145  6.4015234  7.7288525  6.3862450  6.2756319  5.9704080  6.9368306
## 146  5.4370264  6.3755776  5.4240313  5.3548000  5.6011896  6.5056278
## 147  5.6995499  7.3295818  5.4038039  5.9754550  5.7123683  6.6813585
## 148  5.3326523  6.7820031  5.1414547  5.8276235  5.1652856  6.4426447
## 149  6.1185526  7.4874850  5.7383736  6.1067895  5.7088882  6.7992243
## 150  4.8249460  6.6409898  4.3675470  5.0073964  4.8874248  5.9297937
## 151  5.4042347  6.9300819  4.9424313  5.4406871  5.1666077  6.3429146
## 152  4.1610576  5.4668043  4.1336976  4.0090981  4.2338809  5.5384378
## 153  4.9884609  6.8288004  4.5571615  5.0187424  5.1297882  6.1454300
## 154  6.1384259  7.3683757  5.9189662  6.2484469  6.0345114  6.9545157
## 155  6.0432080  7.3219799  6.2166455  5.7819835  5.7093384  6.4406538
## 156  6.0500439  7.5070805  5.8237928  5.9543087  5.6439125  6.5695001
## 157  5.5254757  7.2436362  5.2389418  6.1624423  5.7860029  6.8722833
##             13         14         15         16         17         18
## 2                                                                    
## 3                                                                    
## 4                                                                    
## 5                                                                    
## 6                                                                    
## 7                                                                    
## 8                                                                    
## 9                                                                    
## 10                                                                   
## 11                                                                   
## 12                                                                   
## 13                                                                   
## 14   7.3544786                                                       
## 15   8.7731124  3.3061806                                            
## 16   5.4991752  2.8499249  4.6045000                                 
## 17   5.6371295  2.7943000  5.3155643  1.8991930                      
## 18   6.0554678  4.2742270  4.1620180  3.8987541  4.3770250           
## 19  12.0450160 13.4226351 13.9521360 12.5713938 13.0038971 12.9054205
## 20   4.7264929  6.1800139  7.2971604  5.4049153  5.2915995  3.9044528
## 21   7.4521045  5.3739905  4.5461102  5.0018022  5.8386400  4.2346491
## 22   6.1449456  3.1684546  4.0074126  2.7783796  3.8921225  2.9949893
## 23   7.4857699  3.7551004  5.2689082  3.8193889  3.5823666  4.3691181
## 24   5.0566120  6.5904974  8.0906596  5.9375863  5.2027016  5.3917793
## 25   6.9649825  3.9960220  3.8119440  3.6204667  4.6399989  3.8159859
## 26   6.8130136  5.9208199  6.0773832  4.4927004  5.4819835  4.0717683
## 27   6.9832032  5.4562289  5.5732920  4.7829179  5.6028304  4.6900544
## 28   7.9840376  5.2851858  5.1497240  5.7393349  6.0475532  3.7477363
## 29   5.5854431  2.7951476  4.6378407  1.4756603  1.7328897  3.8049538
## 30   8.0823551  5.8164123  5.3189401  6.0688156  6.6630928  4.7914794
## 31   3.5629477  5.9937236  6.8870823  4.3822627  4.7494490  4.3236971
## 32   9.7118508  6.0155103  5.7374251  7.0869363  6.8272057  4.7752697
## 33   4.2621974  5.2226076  6.6280638  4.1872679  3.5742290  4.3686207
## 34   4.3615598  4.7228459  5.9077808  3.9595017  3.7472886  4.3966292
## 35   5.5920996  2.2672235  4.0274779  1.3442086  2.1636900  3.5615256
## 36   8.9473832  4.1022835  5.5340288  4.9017989  4.1989379  6.2226116
## 37   4.6787695  3.8680414  5.3017668  2.5827419  2.7404368  3.5902970
## 38   6.0421194  6.4297551  6.9482427  5.5449533  5.5516267  4.7268595
## 39   5.5574381  4.4648594  5.3042980  2.9233313  3.4327277  3.4354057
## 40   2.6680878  7.6870571  8.5570452  5.7916074  6.1570744  6.0806792
## 41   8.5644235  2.6048749  4.9007194  4.1578045  3.6240739  5.9528804
## 42   4.0671656  9.2595895 10.6513333  7.2067392  7.0435018  7.6178083
## 43   8.6264336  4.4713453  3.9761903  5.3789927  6.2371420  5.3887230
## 44   9.3367891  5.7289619  5.0579514  6.8743298  7.5834976  6.4163430
## 45   8.4861797  4.8419155  4.5672023  5.7063203  6.4818867  5.4216717
## 46   8.6973786  4.8820602  4.3780794  5.3260295  6.3955435  5.7724690
## 47   8.2934033  4.7077369  4.2247411  5.1109052  6.1419264  5.1937925
## 48   9.2036800  5.0769177  4.3368637  6.1749030  6.9149765  5.9852248
## 49   8.7041177  4.1937395  4.1798970  5.3360935  5.9705340  5.1221613
## 50   8.4289945  4.6510505  3.9982748  5.2725861  6.3464804  5.2513153
## 51   8.3603151  4.2989411  4.0313951  5.0787038  6.0502246  5.2877131
## 52   8.1830174  4.8496996  4.6015831  5.1571601  6.3426701  6.0558802
## 53   8.4523376  4.2147859  4.1961469  5.4325884  6.0761760  5.4662365
## 54   8.0427576  4.1540148  4.2428574  4.7109337  5.7433452  5.5327794
## 55   8.2732071  4.1075142  3.8641922  4.6712643  5.7859501  5.2540593
## 56   8.1404947  4.1471971  3.7511524  4.8847338  5.9179874  5.0346956
## 57   8.1165089  4.1658409  4.3376192  4.7621530  5.7474789  5.8187525
## 58   8.4404733  4.1967554  4.1621223  5.3967123  6.0608496  5.0552926
## 59   7.8449018  3.8612883  4.0374786  4.2321956  5.3301359  5.0837314
## 60   8.4636843  4.3111148  4.2096229  5.3476565  6.0123956  5.2482935
## 61   8.8090196  5.0730075  4.6561408  5.9347898  6.7735705  6.2497002
## 62   8.4222566  5.0282658  4.9851889  5.7889008  6.5192017  6.0315642
## 63   8.3537294  4.8623182  4.7934519  5.6318476  6.3993908  5.6264636
## 64   8.3610511  4.5231147  4.3647586  4.8991888  5.9459570  5.6801389
## 65   7.9745819  4.1294781  4.3656680  4.5935521  5.6570325  5.6729049
## 66   8.3099085  4.7340916  4.3088419  5.1545407  6.2171396  5.6472130
## 67   8.5096022  4.3580556  3.8775905  5.2976047  6.1805673  5.1107149
## 68   9.1255009  5.2269233  4.6938426  6.0699226  6.9580933  6.5851488
## 69   8.6301162  4.5025676  4.2833518  5.5131106  6.1879722  5.2829793
## 70   8.0777622  4.8512529  4.7852997  5.2239006  6.2448482  6.0485098
## 71   9.1975186  5.4193874  4.5712603  6.2910641  7.2093533  6.3685680
## 72   8.4272369  4.6694622  4.4171936  4.9149256  6.1325431  5.6373893
## 73   8.6902851  4.4738924  4.1779536  5.3702097  6.2450176  5.0842062
## 74   8.3335027  4.4776343  4.2545840  5.2706649  6.2434848  5.5570695
## 75   8.3003064  4.5690011  4.3346826  5.1520383  6.0736900  5.4311730
## 76   8.8110947  4.9122262  4.0848946  5.8765106  6.8441715  5.6111551
## 77   8.5094546  4.4846042  4.1999126  5.2246680  6.2324667  5.7433607
## 78   7.9058115  4.5623529  4.2006693  5.0106052  6.0825943  5.1336452
## 79   8.6949371  3.9902010  4.0968567  5.2875568  5.8289783  4.9710562
## 80   8.5370951  4.8442784  4.7124554  5.6745279  6.4697819  5.7916034
## 81   8.0557631  4.7510907  4.7179774  5.0366482  6.0097625  5.7395732
## 82   8.4580109  4.2245091  3.8507959  5.1493905  6.1193387  5.2991826
## 83   8.4794473  4.4476841  4.2260472  5.0587464  6.1051550  5.9668704
## 84   8.2290052  3.7343858  4.3675774  4.9112503  5.4895154  5.4442046
## 85   8.1448779  5.0254330  4.5813645  5.2496829  6.3757485  5.4918334
## 86   8.2999135  4.1164803  3.8740592  5.0994257  5.9394701  4.7861893
## 87   8.5846497  4.3503738  4.3590185  5.3046305  6.0047328  5.5628588
## 88   8.5960739  4.3074775  3.8807736  5.2785517  6.2370419  5.4479788
## 89   8.3662474  4.4164515  4.3819118  5.3875209  6.0736226  5.3206371
## 90   7.6445318  3.9181288  4.0550580  4.3686777  5.3943885  4.6367212
## 91   8.9908746  4.8196464  4.1145886  5.5288421  6.5344551  5.8180838
## 92   8.7443797  4.4173368  4.1260556  5.6487738  6.3190157  5.1557760
## 93   8.0860696  3.7848603  3.8994280  4.6876803  5.4802020  4.6630480
## 94   8.3333868  4.3833863  4.3201414  5.2527775  6.0433246  5.5329546
## 95   8.5195878  4.6366898  4.1439172  5.2221555  6.2410640  5.4608246
## 96   8.1579898  4.0574039  3.9540569  4.8949474  5.8448181  5.1328911
## 97   9.0129676  4.9717249  4.6764158  6.2052652  6.7545436  5.7955690
## 98   8.6643712  5.0986413  4.7696694  5.9281642  6.7267434  5.9341599
## 99   8.0841655  4.2143208  4.6081584  4.8956182  5.5972117  5.3907168
## 100  8.6915981  5.3258589  4.9824308  5.9740864  6.9517662  6.5896574
## 101  8.4430322  3.8453760  3.4363541  4.8310720  5.7182882  4.6310415
## 102  8.8691202  5.1748314  4.4143785  5.8749389  6.8336292  5.8301256
## 103  8.3241783  4.1667877  4.6121294  4.9450866  5.7497730  5.8782466
## 104  8.1627675  4.9142489  4.6277166  5.3211355  6.3802221  5.7518835
## 105  8.6210052  5.1138014  4.7234399  5.7819276  6.6773997  5.9921159
## 106  8.0649586  4.1997222  4.7745608  4.9537069  5.5373349  5.3012871
## 107  8.7253224  4.7916978  4.0109889  5.4911287  6.5658102  5.5754472
## 108  8.8732647  5.2601821  4.5203706  5.7734719  6.8569979  6.2337750
## 109  8.1277586  3.9014927  4.4442331  4.8477474  5.5113633  5.1266508
## 110  8.9741297  5.5588892  4.9184141  6.2209666  7.1333065  6.2517590
## 111  8.8769339  4.9441993  4.4859496  5.8509806  6.7196501  5.9789165
## 112  8.8381030  4.7641251  4.5246588  5.7282781  6.5409558  5.9429225
## 113  8.3534683  4.8295715  4.4405232  5.6053000  6.5233591  5.4015995
## 114  8.1309489  4.3735804  4.1448330  5.0898310  6.0672787  5.4626806
## 115  8.1807583  4.6930268  4.9175751  5.4323809  6.2338952  5.9451314
## 116  8.6156496  4.9725135  4.9350932  5.7829266  6.5552660  6.0876063
## 117  8.5696780  4.9944763  4.8254334  5.8347987  6.7099948  6.3087708
## 118  9.2072862  5.4589001  4.6729030  6.3387006  7.2520761  6.2550644
## 119  8.3681752  4.2960360  4.1692423  5.0560909  5.8316788  4.7235890
## 120  8.0492668  4.2719049  4.3091636  4.6802205  5.7383165  5.5869866
## 121  8.5159072  4.6653165  4.6946213  5.3209896  6.2043944  5.7298787
## 122  8.7275647  5.3121207  4.7162390  5.6951432  6.7664297  6.0888537
## 123  8.8502756  5.3969743  4.7756615  5.9336498  7.0351301  6.4281574
## 124  8.5003309  4.8883842  4.6318014  5.7971626  6.5540825  5.4821031
## 125  8.2583878  4.3283845  4.1820884  4.8027296  5.7089735  4.7897119
## 126  8.8248241  4.7420170  4.1506120  5.5902810  6.4742537  5.1728976
## 127  9.0798260  4.9322133  4.2333641  5.6421354  6.5973078  5.8422051
## 128  8.9259683  5.3166952  4.7068413  6.2488311  7.0451143  5.8534959
## 129  8.0569269  3.8560289  4.0846832  4.6381904  5.3916191  4.4394835
## 130  8.4802956  4.4327128  3.8621943  5.1440282  6.1651816  4.9410516
## 131  8.9927857  5.6063476  5.0104203  6.3840022  7.2885886  6.4533682
## 132  8.9294333  4.2927344  4.0860380  5.5760280  6.2340118  5.2400637
## 133  8.2819277  4.0709541  4.0295359  4.8971219  5.6401882  4.9259411
## 134  8.9475798  4.9546056  4.7270327  5.6964696  6.4338887  5.5628364
## 135  8.5332862  4.4789031  4.0590332  5.2467312  6.2005606  4.9117360
## 136  9.1230278  4.9079276  4.3203927  6.0047878  6.7753273  5.7630435
## 137  8.0646325  4.1331641  4.3637220  4.7433114  5.6794870  5.3161947
## 138  8.7214196  5.2262661  4.6186967  5.5649067  6.6762772  5.8720824
## 139  8.4009439  4.2056268  3.9548341  4.9018229  5.9320299  5.5164416
## 140  9.3136081  5.6657596  4.6329735  6.2438552  7.3727027  6.3776679
## 141  8.2636782  4.6918042  4.8173876  4.8928415  5.8375263  5.5752155
## 142  8.3749842  3.6715420  4.0839115  5.1011015  5.6201362  4.9527810
## 143  8.7294208  4.1977995  3.9632517  5.2861163  6.1410812  5.4922425
## 144  8.9683058  5.2784732  4.7125196  5.9003730  6.8535187  6.1275936
## 145  9.2257266  5.8690474  5.1039041  6.5191602  7.5209908  6.8457935
## 146  8.9622299  4.5747459  3.9349752  5.6944349  6.5565582  5.4803611
## 147  9.0302174  5.1372118  4.2837154  5.9493662  6.9162230  6.0113146
## 148  8.6636319  4.9567787  4.3221890  5.4003494  6.5026675  5.8025328
## 149  9.0037122  5.4289653  4.8399525  6.1081803  7.0688485  6.3584294
## 150  8.1586161  3.8927303  4.1160516  4.8067678  5.5844861  5.2988052
## 151  8.5758271  4.7869410  4.3360910  5.4823434  6.3650740  5.6668782
## 152  7.8330184  3.5825670  3.7092258  4.3928290  5.2873978  4.6100695
## 153  8.2956672  3.9082484  4.2788735  4.9723841  5.6645257  5.4974897
## 154  9.3064460  5.5052896  4.4488982  6.3548221  7.3220517  6.1705773
## 155  8.9592894  5.4698628  4.8664872  6.1777899  7.1870588  6.5866350
## 156  8.9588710  5.6678444  4.8693047  6.2485204  7.2191603  6.3912667
## 157  9.1944040  4.8104083  4.1209029  5.7281020  6.6138928  6.0111743
##             19         20         21         22         23         24
## 2                                                                    
## 3                                                                    
## 4                                                                    
## 5                                                                    
## 6                                                                    
## 7                                                                    
## 8                                                                    
## 9                                                                    
## 10                                                                   
## 11                                                                   
## 12                                                                   
## 13                                                                   
## 14                                                                   
## 15                                                                   
## 16                                                                   
## 17                                                                   
## 18                                                                   
## 19                                                                   
## 20  12.9181373                                                       
## 21  13.4594204  6.8530614                                            
## 22  12.8085730  4.9035391  4.6741942                                 
## 23  13.4840186  5.2073151  6.8656463  3.9242009                      
## 24  13.3854794  2.9673554  7.5525452  6.5306480  5.9033460           
## 25  13.0367403  6.4202839  4.9760959  3.1111529  5.1488753  7.6447420
## 26  12.9449399  5.5765966  6.3729631  4.1173612  4.4524225  6.9498022
## 27  13.4248754  5.3429257  6.2843307  3.6617064  4.1234663  7.0120837
## 28  13.8192848  5.1647260  6.4708368  4.0782135  4.4605269  6.9289806
## 29  12.2904701  5.2611802  5.3492676  2.9710902  3.1865668  5.8052308
## 30  13.5879294  5.6150298  6.2726062  4.3649809  5.2153596  7.4802285
## 31  13.0474660  3.2260919  5.9459993  4.6796911  5.3538857  3.7112629
## 32  14.3459046  6.2893464  7.6994612  6.0677793  4.5544034  7.2526049
## 33  12.2596275  4.1208719  5.7945965  5.1594984  4.8759011  3.4577049
## 34  12.2493060  4.0058331  5.8969035  4.8329375  5.0941658  3.4611946
## 35  12.4600805  5.0258212  4.9028081  2.2701988  3.5353622  5.7622027
## 36  13.6516804  7.2047091  7.1196541  6.2390869  4.2129475  6.4200713
## 37  12.5354234  4.9089698  5.2348035  3.1274325  4.1025370  5.7167182
## 38  13.6493771  3.8679276  6.6984023  5.9859808  5.3318949  3.1956218
## 39  12.8522513  4.3246667  5.6834795  3.7343107  3.1238517  4.8098589
## 40  12.5880336  4.7121792  7.3598593  6.5275121  7.5016811  4.6401332
## 41  13.4330442  7.0518754  6.8906322  5.1213819  4.0224896  6.7810897
## 42  12.6170397  5.3566107  8.9607912  8.3021674  8.2992352  4.8301213
## 43  13.7970505  7.3790865  6.1228492  4.1425431  6.0950730  8.5534181
## 44  14.4846057  8.2328526  6.6797831  5.3665343  7.9100353  9.6097587
## 45  14.0214515  7.4451783  5.8847983  4.3054845  6.9764894  8.8301356
## 46  13.9515087  8.1155096  4.9255541  4.4364793  6.9519703  9.1112831
## 47  14.0138834  7.3578318  5.2802622  3.9486372  6.4281477  8.5923053
## 48  14.4068655  8.1016879  5.4593725  4.9036211  7.2263314  9.2131249
## 49  13.8650950  7.4663406  5.6056758  3.9782137  6.1806502  8.7004986
## 50  14.0942227  7.2500527  5.0228550  3.7435985  6.4121537  8.5755336
## 51  14.1033049  7.3378870  5.1877475  3.5751063  6.2918467  8.6569015
## 52  13.6938060  7.8485781  5.6250241  4.2573267  7.0197910  8.9543038
## 53  14.0430803  7.2062661  5.6090905  4.0264937  6.4020376  8.4385471
## 54  13.8637920  7.5044247  5.4486782  3.8177819  6.5302695  8.5783762
## 55  14.0204130  7.4827209  5.0523569  3.5688518  6.2191358  8.6016326
## 56  13.6305418  7.0784974  5.1331976  3.5889266  6.2831688  8.2835760
## 57  13.8231650  7.6867504  5.9011657  3.9912177  6.5316143  8.7621915
## 58  13.9882395  7.1771492  5.5496406  3.7979684  6.4905297  8.5814726
## 59  13.4989543  7.1684028  4.9344510  3.2331736  5.7887516  8.2613881
## 60  14.0404184  7.3520252  5.7310403  4.0968226  6.4320714  8.5811015
## 61  13.9646254  8.0650972  6.0709360  4.8189507  7.1838036  9.1918207
## 62  13.9931213  7.5852304  6.0944692  4.5847562  6.9315309  8.8188580
## 63  13.7832451  7.2928758  6.2084806  4.1705920  6.5314026  8.7172181
## 64  13.6665177  7.8872283  5.2358185  4.1991290  6.5718775  8.8410809
## 65  13.6786304  7.6590704  5.6690388  3.8533074  6.5558034  8.7068912
## 66  13.6805146  7.6781914  5.6901740  4.3531515  6.8176402  8.7422884
## 67  13.8511252  7.3354840  4.4766241  3.8504811  6.5700504  8.5325714
## 68  14.0987357  8.4440240  6.1083233  5.1574936  7.4453293  9.4467606
## 69  13.8446672  7.5502796  4.9303699  4.3487642  6.8183591  8.6426712
## 70  13.8518371  7.4183225  6.0161677  4.2888687  6.6500619  8.5499165
## 71  14.4422300  8.4623682  5.7195614  5.1879175  7.8130936  9.5501463
## 72  14.1009985  8.0007586  4.8615182  3.9990021  6.8611461  9.0919163
## 73  14.0480004  7.6803645  4.8293822  3.8447176  6.7157192  8.9900149
## 74  13.8657781  7.5677195  5.3949757  3.9309137  6.8374536  8.8360300
## 75  13.6681813  7.5107884  5.0130563  4.1299831  6.6637285  8.6069773
## 76  14.0233642  7.5092627  5.9658577  4.3135467  6.9137997  8.8950382
## 77  13.7642416  7.7577108  5.0897049  4.1510532  6.8516157  8.8457917
## 78  13.6921240  6.8473479  5.4441436  3.5732394  6.2448790  8.2195237
## 79  14.3396500  7.4100209  5.7133835  4.1213200  6.4867438  8.5959699
## 80  13.9975822  7.7988671  5.8397750  4.4690870  7.1372471  9.0385505
## 81  13.7590540  7.3587034  5.9939781  4.1836125  6.3644666  8.5032138
## 82  13.7525944  7.3071035  5.4594612  3.7473759  6.2839340  8.5358667
## 83  13.9486412  8.1747390  5.1922226  4.3796035  7.1257308  9.1153855
## 84  14.0205002  7.3462723  5.9223937  3.7537285  6.1373478  8.5492429
## 85  13.6884893  7.4425982  5.5769670  4.1008353  6.7759296  8.7523590
## 86  13.7517486  6.8941036  5.1294614  3.3206063  5.9416764  8.3200427
## 87  13.9042472  7.8504126  5.2950055  4.2822232  6.7233696  8.9205503
## 88  13.9990969  7.7506820  5.7052936  4.0734335  6.8423994  8.9529290
## 89  13.6632450  7.1611199  5.8477424  4.1260445  6.4020148  8.4107254
## 90  13.6207132  6.7290480  4.9453376  3.0592715  5.9569708  8.0146986
## 91  14.4086164  8.2744774  5.6164503  4.7052327  7.1849266  9.2771781
## 92  14.0954089  7.4949826  4.8176077  4.1666852  6.9020834  8.7242911
## 93  14.0435685  6.9925100  5.2272105  3.3662339  6.0428093  8.2614864
## 94  13.6940473  7.4923223  5.9578592  4.1933860  6.5675905  8.6443747
## 95  14.2478024  7.8167137  4.3763608  4.1850104  7.0462788  8.8862648
## 96  13.7372385  7.2049531  5.2152492  3.4804497  6.2517254  8.4646178
## 97  14.1332063  7.6596666  5.7946664  4.7176760  6.9221201  8.9327248
## 98  14.3222798  7.8331842  5.9895959  4.5636941  7.1664835  9.1627855
## 99  13.6672875  7.4848932  5.7313039  4.0796973  6.5148012  8.6056109
## 100 14.2184297  8.2553196  5.9903512  5.0034492  7.7524382  9.3463410
## 101 13.7754770  7.0474653  4.7743541  3.4822098  5.9426958  8.2355763
## 102 14.0576096  8.0719836  5.1329879  4.6785062  7.3668096  9.2474613
## 103 14.1360448  7.9849971  5.9216198  4.3412792  6.9871428  8.9703134
## 104 14.0282590  7.3085749  5.8397836  4.0339230  6.6195135  8.6528355
## 105 13.9879888  7.8951849  5.4378717  4.5730702  7.1512725  9.0819279
## 106 13.6029828  7.4032613  5.6208557  4.0546076  6.4659129  8.5402691
## 107 14.1345378  7.7860899  4.7919360  4.2067425  7.0242982  8.9816244
## 108 14.1821094  8.2886055  5.6309723  4.8840102  7.4162799  9.3293029
## 109 14.1256776  7.3060005  5.5406047  3.6175061  6.3267154  8.5727280
## 110 14.2013916  8.0345071  5.5632560  4.8754639  7.2289592  9.2407880
## 111 14.0170810  8.1204841  5.7032640  4.6951801  7.3127877  9.2610336
## 112 14.3621817  7.9914987  5.1354574  4.3573650  7.0672404  9.2126371
## 113 14.2036652  7.0056201  5.9538427  4.0036526  6.5778579  8.4436238
## 114 13.6794580  7.3428414  5.3465524  3.8887264  6.6687883  8.5532526
## 115 13.7918429  7.7244746  6.1207240  4.2810181  7.1222002  9.0444820
## 116 13.9312269  7.9014148  6.0488587  4.5363271  7.0421341  9.1763134
## 117 13.9393673  7.9568258  6.4436505  4.6204215  7.2574077  9.2358390
## 118 14.2516102  8.3556037  5.6358272  5.0553203  7.7619119  9.5676273
## 119 14.1052946  7.1081788  5.4282323  3.6493680  5.9150701  8.4032353
## 120 13.9568982  7.5928204  5.0141581  3.7595203  6.4560657  8.6675616
## 121 14.3236280  8.0865482  5.9076310  4.5227766  7.3967379  9.2243266
## 122 14.1193367  8.0413949  5.2278029  4.6858362  7.2012207  9.1450905
## 123 14.4528988  8.3447279  5.7813807  4.7281143  7.5162607  9.5844304
## 124 13.8526166  7.2815168  6.0469181  4.1660806  6.5755933  8.7216753
## 125 14.0439619  7.2110421  5.3753402  3.8363121  6.1467523  8.3651926
## 126 14.3634198  7.6398056  5.4714880  4.0715333  6.6255046  8.9960737
## 127 14.3998062  8.4129384  5.0882749  4.9004921  7.4441766  9.3181180
## 128 14.0659711  7.7838929  5.6102484  4.7174630  7.3192357  9.1403526
## 129 14.0424603  6.8626923  5.1461039  3.3459614  5.9483182  8.1503042
## 130 14.2554643  7.4799761  4.9926495  3.8355357  6.7082000  8.7183715
## 131 14.1463801  8.3062083  6.3655388  5.2132345  7.9223512  9.5638338
## 132 14.1865275  7.8339597  5.3878479  4.2574427  6.8671942  9.0351062
## 133 13.9989389  7.2206575  5.3501809  3.8526867  6.1392037  8.3469681
## 134 14.4366683  8.1505184  4.8074984  4.7755063  7.3215743  9.1476349
## 135 14.0872635  7.4753570  4.9028691  3.7677793  6.7205979  8.8242736
## 136 14.6052161  8.2212517  5.8823182  4.7326276  7.3497062  9.4347968
## 137 13.7592768  7.5811871  5.4184752  3.6926211  6.5999019  8.8089772
## 138 14.3617348  8.2713442  5.2356407  4.6880582  7.5293201  9.3859405
## 139 14.1931263  7.8235016  5.5190191  3.9995519  6.7016274  8.9045138
## 140 14.3167699  8.7657985  5.3384626  5.1423258  7.9544647  9.8899385
## 141 13.7693043  7.9962952  5.3923066  4.4470057  6.9929898  8.9763200
## 142 13.8643169  7.0812940  5.8467945  3.6399055  5.9861220  8.3585249
## 143 14.0311419  7.9379869  5.5508300  4.1645526  6.9134171  9.0915395
## 144 14.3882012  8.3214834  5.0380550  4.9063042  7.6143257  9.3891760
## 145 14.4663028  8.5426398  6.6313838  5.4019286  7.7783673  9.7100319
## 146 14.4343025  7.8719548  4.8864827  4.1681911  6.9258683  9.0939770
## 147 14.0660707  8.2062804  5.5185505  4.9034951  7.5028086  9.2919620
## 148 14.2223889  8.0745662  5.5376405  4.4673709  7.0527428  9.1857356
## 149 14.3306809  8.4451914  5.4595011  4.9324033  7.6467262  9.5967662
## 150 13.8298121  7.4843977  4.9427125  3.8872639  6.6257114  8.5226649
## 151 13.9641139  7.7584604  5.4813659  4.4631423  6.9235453  8.8925088
## 152 13.4265803  6.6023591  5.3012490  3.0980217  5.5704449  7.8501717
## 153 13.7299749  7.5929807  5.5474456  4.0854744  6.7214546  8.6698751
## 154 14.6790673  8.4770073  5.5113347  5.0923531  7.8275728  9.6508347
## 155 14.2005983  8.1512882  6.3074844  4.9498413  7.4054285  9.3673317
## 156 14.0174850  8.0588669  5.8917194  5.1665243  7.4532109  9.1689961
## 157 14.5053157  8.5161598  5.2949588  4.8804214  7.3422595  9.4477506
##             25         26         27         28         29         30
## 2                                                                    
## 3                                                                    
## 4                                                                    
## 5                                                                    
## 6                                                                    
## 7                                                                    
## 8                                                                    
## 9                                                                    
## 10                                                                   
## 11                                                                   
## 12                                                                   
## 13                                                                   
## 14                                                                   
## 15                                                                   
## 16                                                                   
## 17                                                                   
## 18                                                                   
## 19                                                                   
## 20                                                                   
## 21                                                                   
## 22                                                                   
## 23                                                                   
## 24                                                                   
## 25                                                                   
## 26   4.2518223                                                       
## 27   4.9771185  4.7977313                                            
## 28   4.0573994  4.5360127  4.4516837                                 
## 29   3.8651912  4.7210113  4.3627139  5.4101131                      
## 30   5.6657475  6.3846144  2.6267964  4.2524196  5.5612222           
## 31   5.8563116  4.9149429  4.6771670  6.0438869  4.5010148  5.9396943
## 32   6.4749670  6.1659610  6.2537009  3.7467769  6.3916686  5.7119189
## 33   5.7420857  5.6775247  5.6608904  6.0614338  3.6648820  6.5611718
## 34   5.2417561  5.8885813  5.3640157  5.8502181  3.8074503  6.0382549
## 35   3.3923780  4.8512022  4.0931753  5.0649530  1.3222996  5.0255057
## 36   6.7261631  7.2159148  6.9581139  7.1363167  4.6892796  7.4323747
## 37   3.5735294  4.5339681  4.4230047  4.9871505  1.9462364  5.6302638
## 38   7.0173821  5.4558719  6.0392699  6.4368896  5.6496357  6.8153145
## 39   4.7903121  3.2880516  4.1611432  5.2622912  2.9065688  5.7004799
## 40   6.9338051  6.3422417  6.7440095  7.7779419  6.0877612  7.9459642
## 41   5.7316071  6.9385017  6.6059598  6.4721589  4.1188705  7.0362511
## 42   9.1081610  7.9389708  8.1784151  9.4317800  7.2562765  9.3346148
## 43   3.1175509  5.9227436  5.7793984  4.3006347  5.6953913  5.7820583
## 44   4.5819243  8.0212980  6.9686879  5.5335517  7.0823758  6.1806522
## 45   3.3323087  6.7578152  6.4958246  4.8217065  6.0637979  6.1631228
## 46   3.3651055  6.2261010  6.5219197  5.6156635  5.9203222  6.7862226
## 47   2.8567353  5.7141150  5.9417757  4.6920233  5.6814954  6.1031339
## 48   4.1134255  7.3389288  6.5614695  5.2832009  6.4755987  6.0483745
## 49   3.1018384  6.1616917  6.4005553  4.3564517  5.5721410  6.2742836
## 50   3.5485967  6.1448760  5.4199852  4.7963628  5.7536305  5.2980902
## 51   3.2978074  6.2535497  5.5483180  4.7948075  5.4947421  5.4858339
## 52   3.6568854  6.6710413  5.9735199  5.9514036  5.7615247  6.2116821
## 53   3.8378124  7.0369246  5.7786911  4.8009123  5.6392149  5.2591105
## 54   3.1916041  6.3353713  6.0808891  5.5396892  5.3135018  6.3404397
## 55   3.0622673  5.8206735  5.8502052  5.1819310  5.2979496  6.1618611
## 56   3.2007549  6.0711208  5.7474325  4.8820156  5.4121401  5.6884054
## 57   3.2585669  6.5725051  6.0707382  5.6434428  5.3215810  6.2994022
## 58   3.5945391  6.7532160  6.3024167  4.7098769  5.6764715  5.8217721
## 59   2.8223427  5.4621714  5.5109669  4.9631358  4.8138492  5.9791429
## 60   3.0809481  6.4759664  6.3004822  4.5273277  5.6630671  6.0772614
## 61   3.8363774  7.2442584  6.2608045  5.4356893  6.2361726  6.0149368
## 62   3.7416419  7.1159850  5.9235042  5.0509116  6.0122765  5.6741634
## 63   3.3295682  6.5567375  5.6913742  4.4051092  5.8238632  5.4671430
## 64   2.9595250  5.9594414  6.3057980  5.4468105  5.4929536  6.7252310
## 65   3.1054773  6.3041101  6.2187943  5.7296399  5.2225952  6.5977419
## 66   3.0454916  6.2234418  6.3397357  5.3770368  5.7820366  6.5147242
## 67   3.7147130  6.5469807  6.0560857  5.0149885  5.7135425  5.7126495
## 68   4.1183046  7.5107025  6.5392675  5.9276930  6.4489816  6.3468054
## 69   3.5228180  6.7479067  6.7105528  5.0261608  5.8713253  6.4069888
## 70   3.8606319  6.7320545  5.3858554  5.5282923  5.6827811  5.5217338
## 71   4.1775834  7.6019002  6.9311220  5.9871297  6.7520608  6.5741110
## 72   3.4572664  6.0654725  6.4738140  5.9487070  5.6677915  6.9059271
## 73   3.6503464  6.3277128  6.6933797  5.2135791  5.8174895  6.5665678
## 74   3.5007427  6.7453892  6.0993828  5.3626526  5.7188145  5.9573249
## 75   3.1039077  6.3191811  6.1604997  5.0707577  5.6329069  6.1830146
## 76   3.9884660  6.8804326  5.9950366  5.0519643  6.2594949  5.4820623
## 77   3.7215355  6.8170166  6.1423192  5.6625256  5.7272254  6.0716391
## 78   3.3090278  5.9710771  5.2217874  4.6548119  5.4938498  5.1855147
## 79   3.7522302  6.6525154  7.1230863  5.1591514  5.7195855  6.8586802
## 80   3.4345498  6.9706730  6.5954719  5.2878099  6.0331317  6.4236574
## 81   3.0457781  6.0873907  5.5729122  4.9444022  5.5114151  5.8788849
## 82   3.4195974  6.2711241  5.6974946  4.8493271  5.5451232  5.5934345
## 83   3.6608902  6.9185172  6.7330737  6.2432243  5.7390518  6.8640684
## 84   3.3474669  6.7360338  6.1049065  4.9716909  5.1615151  6.0117285
## 85   2.9634303  5.9725809  5.9297902  5.0025951  5.8275263  6.0882561
## 86   3.2899264  6.0121464  5.4863653  4.1492738  5.3845363  5.1866962
## 87   3.2442915  6.6796372  6.6728341  5.1973766  5.6657319  6.6042408
## 88   3.4492208  6.6239166  6.6429431  5.4762488  5.8204691  6.5307687
## 89   3.2077044  6.5302977  6.0417841  4.4575145  5.6453179  5.7637847
## 90   2.7151058  5.5268235  5.6940023  4.6716618  4.9617701  5.9082342
## 91   3.4019817  6.5419076  7.0660819  5.7763094  6.2006564  7.1783143
## 92   4.0367935  7.0465096  6.7597262  5.2165992  5.9868874  6.2230549
## 93   2.9985835  5.9151991  6.2346105  4.6909396  5.1955189  6.2243853
## 94   3.0145418  6.4951232  6.2560093  4.8939925  5.6170012  6.2043225
## 95   3.7797221  6.6595164  6.6081298  5.8265405  5.8952069  6.5635826
## 96   3.1357859  6.1783075  5.7512027  4.8378371  5.3162392  5.7255059
## 97   4.1331993  7.3662817  6.3046482  4.7056252  6.2968753  5.5887148
## 98   3.6285152  7.0955180  6.2962884  5.1081241  6.2349404  5.9940435
## 99   2.8346331  6.3690418  6.6324255  5.1277037  5.3449424  6.7368634
## 100  4.4697416  7.7930464  6.5476777  6.4325775  6.4543938  6.3448495
## 101  3.2469906  5.8314818  6.0385753  4.5920959  5.3372912  5.8932202
## 102  3.7318932  6.9384997  6.6503425  5.5151272  6.3629559  6.3902756
## 103  3.5695013  6.9834980  7.0693990  6.1739042  5.5499806  7.2526228
## 104  3.6896180  6.5146889  5.3205586  5.1551118  5.7834088  5.3107163
## 105  3.6904708  6.9842524  6.1474689  5.3300869  6.1383235  5.9664775
## 106  2.9913479  6.4095828  6.7040556  5.0369196  5.3059245  6.7643316
## 107  3.8425038  6.7371696  6.2291201  5.5607963  6.0680723  6.0075100
## 108  3.7365199  6.9192036  6.5415091  5.8970155  6.3639543  6.5759845
## 109  3.2354384  6.4377824  6.4751419  5.0838313  5.2448886  6.4849501
## 110  4.2212052  7.0924336  5.8811041  5.2898497  6.4981329  5.6110788
## 111  3.6520020  7.0980226  6.7357502  5.5420579  6.2456388  6.5367283
## 112  4.1229698  7.3165256  6.2508766  5.5886035  6.0522926  5.9061731
## 113  3.8137440  6.5592436  5.5096277  4.7033775  5.9546946  5.2040247
## 114  3.4391058  6.6526042  5.9002927  5.2736372  5.5738096  5.7424034
## 115  3.7694297  7.2779975  6.4911279  5.7287350  5.8071080  6.2880677
## 116  3.6063905  7.1169820  6.2188652  5.2182847  6.0233439  6.0261906
## 117  4.1195147  7.4972891  6.2348854  5.7823185  6.1572749  5.9330309
## 118  4.1512575  7.5410781  6.8315212  5.7792439  6.7384645  6.3893512
## 119  2.7381859  5.3693549  6.0988201  4.0257281  5.4387300  6.2378886
## 120  3.2581772  6.2675317  5.8265879  5.5129626  5.2742758  6.1321923
## 121  3.7782422  6.9630034  7.5481044  6.3041065  6.0298617  7.6107290
## 122  3.7466429  6.7179987  6.1306907  5.6187413  6.2275932  6.1878380
## 123  4.2470933  7.2897070  6.2378312  6.1056435  6.4424851  6.1475375
## 124  3.4278522  6.5327963  5.7734244  4.2376443  5.9565239  5.4368295
## 125  2.6565435  5.2990894  6.4803106  4.6656191  5.4424559  6.7757852
## 126  3.1294231  6.0408470  6.4120627  4.5503425  6.0110181  6.3263452
## 127  3.7308751  6.7895261  7.4215842  6.0962678  6.3367541  7.4679580
## 128  4.0235580  7.2713036  6.3399484  5.0292804  6.5039104  5.7229295
## 129  3.0883211  5.6625387  6.4099908  4.6555255  5.1790691  6.4640094
## 130  3.3976259  6.0527776  6.6370192  5.2753528  5.8086432  6.6331487
## 131  4.1829171  7.7185047  6.9416316  5.9613388  6.7978599  6.5318691
## 132  3.9263430  6.8750478  7.2246475  5.4328030  5.9740480  6.9006220
## 133  2.7159748  5.8735248  6.3321051  4.5299352  5.3704054  6.3861296
## 134  3.9136910  6.7669266  7.5305010  5.8564290  6.2460064  7.5200814
## 135  3.4685937  6.1805666  6.6557666  5.1648363  5.8145197  6.5308401
## 136  3.6560954  7.0523854  7.2036354  5.4298573  6.4270042  6.9403747
## 137  3.0917879  6.3113895  6.5473202  5.4953619  5.3218684  6.6928135
## 138  3.4575624  6.5944493  7.0796293  6.0178221  6.3109185  7.2362747
## 139  3.2557622  6.3654062  6.5603380  5.6753746  5.5820169  6.7391204
## 140  4.1023407  7.1886401  7.1157970  6.2535552  6.8386635  7.0266851
## 141  3.1243126  6.1200008  7.3099549  5.9719225  5.6611662  7.6963646
## 142  3.4214467  6.4597987  6.2942346  4.5089991  5.2823357  6.0339147
## 143  3.5608194  6.8137928  6.9765473  5.6624005  5.8077025  6.8375626
## 144  3.9374751  7.2191844  6.8817258  5.9876566  6.4484752  6.7563130
## 145  4.4298573  7.5669114  6.4078544  5.9948272  6.9068008  6.2326436
## 146  3.9331007  6.8918784  6.4392585  5.3017845  6.0841644  6.0914857
## 147  3.8246211  7.1551581  6.8611992  5.7552856  6.4760947  6.5846872
## 148  3.1943678  6.3008231  6.5368156  5.5521858  6.0531076  6.7389528
## 149  3.9995453  7.3236043  6.6236393  5.8830553  6.5275003  6.4740227
## 150  3.3941899  6.7404718  6.5697918  5.5444096  5.3337414  6.4915934
## 151  3.3854011  6.6854800  6.4297039  5.2442226  5.9706928  6.2824294
## 152  2.7692288  5.6061033  5.4865898  4.2952304  4.8529375  5.5173875
## 153  3.5212471  7.0137981  6.7800537  5.6418907  5.4306798  6.6190813
## 154  4.1166841  7.3714042  7.0169697  5.8540333  6.8572508  6.6712700
## 155  4.5626248  7.5307467  5.9234101  5.9274224  6.5393563  5.6234925
## 156  4.3476359  7.2768024  6.1562758  5.6591989  6.6528013  5.8430517
## 157  3.7133011  7.0036669  7.1908523  5.9344697  6.2978940  7.1489025
##             31         32         33         34         35         36
## 2                                                                    
## 3                                                                    
## 4                                                                    
## 5                                                                    
## 6                                                                    
## 7                                                                    
## 8                                                                    
## 9                                                                    
## 10                                                                   
## 11                                                                   
## 12                                                                   
## 13                                                                   
## 14                                                                   
## 15                                                                   
## 16                                                                   
## 17                                                                   
## 18                                                                   
## 19                                                                   
## 20                                                                   
## 21                                                                   
## 22                                                                   
## 23                                                                   
## 24                                                                   
## 25                                                                   
## 26                                                                   
## 27                                                                   
## 28                                                                   
## 29                                                                   
## 30                                                                   
## 31                                                                   
## 32   7.5345735                                                       
## 33   3.1790034  6.7503183                                            
## 34   2.9851114  6.9656648  2.3973574                                 
## 35   4.3264723  6.4716710  4.0429368  3.5185557                      
## 36   7.0002589  6.4599845  5.7042825  5.4127085  4.7796228           
## 37   4.0209484  6.5586173  3.1605971  3.7538288  2.3939663  6.1600676
## 38   3.1490824  6.6383573  4.1673358  3.8548437  5.5372427  6.0255780
## 39   3.1191070  5.9413185  3.6060194  3.7124585  3.1770756  5.0721197
## 40   2.7217590  9.5261731  4.3719838  3.7992104  5.9133482  8.5974085
## 41   6.9969649  6.5670884  5.9264163  5.3536790  3.8765380  2.3447514
## 42   4.6845906 10.5941098  5.2195023  5.6969231  7.4708479  9.2225810
## 43   7.1372499  6.8109841  7.3342952  6.2287627  4.7774005  7.1776079
## 44   8.3772269  8.0683123  8.5360900  7.3401432  6.0468847  8.8074410
## 45   7.5626179  7.4976710  7.6599868  6.6826422  5.0980679  8.0512891
## 46   7.3948019  8.0290234  7.4889992  6.7557439  5.0842632  7.6112474
## 47   6.9147384  7.4415972  7.2681325  6.3790589  4.7514984  7.5286121
## 48   7.8662233  7.6995878  7.8581319  6.9375997  5.5003614  7.8551645
## 49   7.5786574  6.6608011  7.2704703  6.7083006  4.8401668  7.3347749
## 50   6.8149609  7.4174018  7.3548291  6.3705774  4.6954294  7.4865240
## 51   6.9926174  7.4147317  7.2940306  6.4248504  4.4867777  7.4509509
## 52   7.0536723  8.5635726  7.5534381  6.3378417  4.6848958  7.7399763
## 53   7.2232942  7.2487692  7.2474516  6.2371465  4.5856105  7.2869342
## 54   6.9671459  7.9829589  7.2180742  6.1720588  4.3039407  7.3019592
## 55   6.8748108  7.5780894  7.1970116  6.3270494  4.3478489  7.1525838
## 56   6.7645559  7.3059833  7.1176247  6.0109253  4.3364097  7.1187323
## 57   7.1383508  8.1723062  7.3845394  6.2410336  4.2784955  7.3246452
## 58   7.4545743  7.0685662  7.4353967  6.6380344  4.7241799  7.6274500
## 59   6.5119662  7.4335306  6.6995710  5.9645028  3.9239748  6.8434583
## 60   7.3909230  7.0904021  7.3032282  6.4350152  4.7528840  7.4593592
## 61   7.6718345  8.0749721  7.7831270  6.6242739  5.2215771  7.9101246
## 62   7.3705710  7.8830545  7.4531867  6.3890917  5.0225084  7.9121496
## 63   7.2738149  7.3367135  7.4068380  6.4194264  4.8826016  7.8767861
## 64   7.1582727  7.9152524  7.1943291  6.3984708  4.6677989  7.2804185
## 65   7.0549531  8.1676868  7.2623365  6.2301486  4.2543423  7.3492818
## 66   7.1456869  7.9659945  7.4570808  6.2644035  4.7777907  7.4883353
## 67   7.1297718  7.3027233  7.2135651  6.4503326  4.7285008  7.3202398
## 68   7.9205981  8.4300010  8.0421260  6.8099306  5.4194331  7.8618994
## 69   7.5459105  7.2997328  7.2599403  6.5827819  5.0105599  7.4440832
## 70   6.7591825  8.2527970  7.3317317  5.9742511  4.5559890  7.4804589
## 71   8.0353039  8.4722895  8.2423898  7.0780033  5.6973510  8.2778505
## 72   7.2362719  8.2938194  7.5510670  6.8627578  4.8190257  7.6985700
## 73   7.6022847  7.3445717  7.5739480  7.1216271  5.0377750  7.8209411
## 74   7.2742564  7.8782259  7.5122284  6.4962302  4.6746114  7.7344455
## 75   7.1132848  7.6634898  7.1328124  6.2714777  4.6989163  7.3868042
## 76   7.4287071  7.4999224  7.9391600  6.6417742  5.1344538  7.8468429
## 77   7.2856055  8.0282728  7.4576831  6.4458677  4.6904113  7.3964017
## 78   6.4679904  7.4359106  7.1054510  5.9321062  4.3815360  7.4333994
## 79   7.7628242  7.0070535  7.5889334  6.9158450  4.9085039  7.3701399
## 80   7.6766673  7.8922987  7.6624316  6.7245582  5.1005799  8.0429014
## 81   6.7987007  7.8322266  7.1511080  6.0033691  4.5272900  7.3829514
## 82   7.0454226  7.2117143  7.3111218  6.2487559  4.5230517  7.1999568
## 83   7.4836662  8.5600259  7.6371145  6.6409339  4.7327456  7.5239029
## 84   7.3583766  7.3719608  7.1773038  6.3844300  4.2590703  7.2325319
## 85   6.9574475  7.8995680  7.4361558  6.3758426  4.8348047  7.8701545
## 86   6.9101977  6.6779292  7.0642708  6.3106554  4.4345834  7.2637478
## 87   7.6367089  7.5875157  7.3277162  6.6904381  4.8527256  7.5078023
## 88   7.5553781  7.7063863  7.7797851  6.7126058  4.8147094  7.6425092
## 89   7.2636168  7.0611742  7.1956968  6.1925765  4.6952856  7.3528962
## 90   6.4668660  7.2193409  6.7451856  5.9287694  4.0001013  7.1326004
## 91   7.7928739  8.0421707  7.9791073  6.9773043  5.2833015  7.7236269
## 92   7.6592174  7.2694793  7.5025936  6.8581998  5.0782316  7.6429453
## 93   6.9985322  7.0018730  7.0709912  6.3600015  4.3031462  7.2068198
## 94   7.3294658  7.4643261  7.3219001  6.2530652  4.6654915  7.4447109
## 95   7.2860920  8.1388430  7.5091711  6.7507625  4.9197833  7.6256520
## 96   6.9398941  7.3148779  7.1205457  6.2108420  4.3222602  7.2941352
## 97   7.8288861  7.2015960  7.6225390  6.8192491  5.3832885  7.8471393
## 98   7.6544203  7.9207989  7.8110379  6.8243477  5.2494879  8.2546239
## 99   7.3775253  7.6560277  7.1540881  6.4030299  4.5240011  7.4407931
## 100  7.6951054  8.9716415  8.0881750  6.7665913  5.3237112  8.2357410
## 101  6.9760629  6.7194129  7.0733960  6.3035282  4.4036981  6.7976647
## 102  7.6822843  8.0732882  7.8401028  6.9299690  5.3821303  8.0520629
## 103  7.6851981  8.3736333  7.6286892  6.7047959  4.6553476  7.5751462
## 104  6.8078731  8.0042875  7.4752282  6.2516313  4.6628931  7.7530968
## 105  7.4589424  8.0692389  7.5782160  6.6403386  5.1605496  7.9814166
## 106  7.4294603  7.4879557  7.0214705  6.4711952  4.5770708  7.4666288
## 107  7.3283139  7.9713169  7.7135519  6.7338199  5.0017193  7.6834886
## 108  7.5935682  8.4806730  7.9560409  6.7744826  5.3319134  7.9361897
## 109  7.3535607  7.4199412  7.2134180  6.6231466  4.4292840  7.5208354
## 110  7.5049763  8.0208992  7.7563972  6.8326824  5.5372795  8.1318495
## 111  7.8485960  7.9897541  7.8561449  6.8610278  5.2936261  7.9855948
## 112  7.6826519  8.0455494  7.7162269  6.9764806  5.0850974  7.9073629
## 113  6.9397887  7.3441246  7.5152693  6.2823094  4.8612486  7.7634768
## 114  6.9984769  7.8386866  7.3036343  6.1540368  4.4573169  7.4551471
## 115  7.6041172  8.3586757  7.7204068  6.7072402  4.7934501  8.1321493
## 116  7.7006825  7.9798302  7.6715514  6.7567372  5.0966615  8.0687661
## 117  7.6787638  8.3996321  7.9886643  6.7161404  5.0630691  8.1597796
## 118  8.0839362  8.3012359  8.2332975  7.1809270  5.7162095  8.3747313
## 119  7.0609925  6.5385231  7.0557978  6.5244132  4.7190628  7.3657752
## 120  6.8531033  8.0914778  7.1066082  6.2630195  4.2961495  7.3282140
## 121  7.9382108  8.4676892  8.0570955  7.1856180  5.1491971  8.1267066
## 122  7.3378486  8.3234296  7.6744687  6.6890893  5.2404041  7.8780066
## 123  7.6407194  8.7771527  8.1937523  7.0869880  5.3694968  8.3904984
## 124  7.3261876  7.0626130  7.4311749  6.5028679  5.0374249  7.9313976
## 125  7.0259341  7.0382860  7.1391854  6.4525840  4.6762936  7.2386666
## 126  7.5450817  7.0670500  7.6787726  6.9854952  5.1791034  7.8893458
## 127  7.9262319  8.2095698  7.9495561  7.1177032  5.4659086  7.7530982
## 128  7.7572910  7.6963204  7.8565326  6.9081755  5.5071631  8.2389566
## 129  6.9869964  6.8448013  7.0074475  6.4712715  4.3916568  7.1954902
## 130  7.2518070  7.4708125  7.5767190  6.7743564  4.8853102  7.6532467
## 131  8.1105166  8.5997259  8.3839765  7.0929005  5.7231541  8.5987233
## 132  7.9992666  7.2975295  7.7937015  7.2114118  5.1746555  7.7158731
## 133  7.1150263  6.9819504  7.0354407  6.2923055  4.5284189  7.1203110
## 134  7.9655355  7.8891802  7.6889644  7.2934287  5.5463314  7.9142409
## 135  7.4261850  7.3932452  7.5999452  6.9632566  4.9420295  7.7913808
## 136  8.1482435  7.7385154  8.1436701  7.2904228  5.5387161  8.2312670
## 137  7.3174690  7.9143523  7.3740714  6.6403010  4.4399061  7.6430537
## 138  7.6923773  8.5420567  7.9916473  7.1098524  5.3893822  8.2140926
## 139  7.3235049  7.9891172  7.6019371  6.6094313  4.6033048  7.4808371
## 140  8.1162059  8.7067188  8.4138559  7.4570285  5.8776054  8.5202787
## 141  7.5605414  8.2839736  7.4728220  6.8700080  4.9480558  7.6939730
## 142  7.4039318  6.6107293  7.1484944  6.4522819  4.4628076  7.1819397
## 143  7.8196065  7.7601305  7.8127046  6.9435704  4.8843111  7.6321529
## 144  7.8287673  8.4881777  7.9285563  7.0611086  5.4892428  8.1028325
## 145  7.9394993  8.6958894  8.4400328  7.0705665  5.8426126  8.5233782
## 146  7.6399771  7.5164876  7.7263844  7.0005133  5.1422640  7.7779899
## 147  7.8418590  8.1719575  8.0317212  6.8767942  5.4349732  7.9285047
## 148  7.4379928  8.1422765  7.7867488  6.7839127  5.1039166  7.8566675
## 149  7.8817746  8.5194193  8.0286750  7.1235784  5.5682657  8.3758063
## 150  7.2652618  7.8009897  7.1378548  6.3410199  4.3713187  7.2063987
## 151  7.4298128  7.8503756  7.5604443  6.5583031  4.9793429  7.6471252
## 152  6.5171729  6.7519618  6.6983382  5.7202326  3.8369745  6.6619835
## 153  7.5719181  7.8416111  7.3790417  6.4801656  4.4709416  7.2929031
## 154  8.0718926  8.3230531  8.3543943  7.3184477  5.8390132  8.4655693
## 155  7.6074944  8.5237751  8.1677562  6.8002602  5.4103658  8.1539276
## 156  7.5117310  8.3223064  7.9368365  6.6534414  5.5762272  8.0208260
## 157  8.0138723  8.1394644  7.9790374  7.1247210  5.4015224  7.7399272
##             37         38         39         40         41         42
## 2                                                                    
## 3                                                                    
## 4                                                                    
## 5                                                                    
## 6                                                                    
## 7                                                                    
## 8                                                                    
## 9                                                                    
## 10                                                                   
## 11                                                                   
## 12                                                                   
## 13                                                                   
## 14                                                                   
## 15                                                                   
## 16                                                                   
## 17                                                                   
## 18                                                                   
## 19                                                                   
## 20                                                                   
## 21                                                                   
## 22                                                                   
## 23                                                                   
## 24                                                                   
## 25                                                                   
## 26                                                                   
## 27                                                                   
## 28                                                                   
## 29                                                                   
## 30                                                                   
## 31                                                                   
## 32                                                                   
## 33                                                                   
## 34                                                                   
## 35                                                                   
## 36                                                                   
## 37                                                                   
## 38   5.8262432                                                       
## 39   3.4314597  3.3750291                                            
## 40   5.4265966  4.7106303  5.0929165                                 
## 41   5.5503963  6.7098619  5.2623683  8.5664711                      
## 42   6.8664689  5.9436766  6.4374023  3.8394554  9.6328471           
## 43   5.7322865  7.8454710  6.3768902  8.3242324  5.7316641 10.8483828
## 44   6.8942939  9.4206593  8.2100739  9.3621830  7.2804542 11.8288605
## 45   5.8588330  8.6302015  7.1700012  8.5828532  6.4878406 10.9180226
## 46   5.8643936  8.3632255  6.7545669  8.5008765  6.2408190 10.9287874
## 47   5.5349423  7.8536872  6.3462193  8.0475357  6.1705363 10.4875781
## 48   6.3496254  8.7413902  7.5046869  9.0839615  6.4737514 11.4295444
## 49   5.4454104  8.4131973  6.7207202  8.8873996  5.7514014 11.0175037
## 50   5.7499045  7.7906367  6.4079712  8.1834623  6.1332240 10.5960417
## 51   5.4514519  8.1102773  6.4976493  8.3552164  5.9257543 10.6785967
## 52   5.8503951  8.3337678  6.7487632  7.9939185  6.2386049 10.5694375
## 53   5.6341300  8.2688523  6.8936174  8.5423005  5.7182939 10.7202947
## 54   5.4238477  8.1286973  6.4201420  8.0270638  5.6895951 10.4591087
## 55   5.4038383  7.8539238  6.1311065  8.1520452  5.6484967 10.5786270
## 56   5.5391918  7.6596346  6.2146245  7.9718966  5.6361965 10.4158792
## 57   5.4513827  8.3352859  6.5905239  8.1367399  5.6597827 10.5617892
## 58   5.5819871  8.4335778  6.9250708  8.7500108  5.9980331 10.8879981
## 59   4.8793875  7.6025210  5.7695681  7.8049971  5.3328888 10.0986501
## 60   5.5048566  8.3320659  6.8145311  8.5448565  5.8912070 10.8094658
## 61   6.1521439  8.7999133  7.3853480  8.6728099  6.4050865 11.1534513
## 62   5.7984572  8.6750467  7.2426082  8.4016660  6.4002180 10.7047644
## 63   5.5908293  8.4960707  6.9517886  8.3834513  6.3289623 10.6820866
## 64   5.4830751  8.1803836  6.4433645  8.1967340  5.8276025 10.6103121
## 65   5.3461109  8.2677907  6.4339407  8.0302542  5.6770093 10.4823744
## 66   5.8206530  8.0877270  6.5986788  8.0088765  6.0481835 10.5811920
## 67   5.7053176  8.0242387  6.6675384  8.5091644  5.9085044 10.7217852
## 68   6.5065602  8.9659936  7.5715391  8.8798473  6.3958815 11.3681688
## 69   5.7472050  8.4239287  7.0193709  8.7232597  5.9803402 10.8540879
## 70   5.7790138  8.0369658  6.6131617  7.7778766  6.0499236 10.2389098
## 71   6.6880006  9.0310816  7.7630784  8.9971485  6.8460267 11.5609750
## 72   5.7070706  8.3323088  6.5291335  8.3997030  6.2395215 10.7836955
## 73   5.7008090  8.5134218  6.8452148  8.9758889  6.2987741 11.1419343
## 74   5.7132202  8.4596689  6.8793973  8.4098099  6.1285747 10.8078601
## 75   5.5396113  8.1698203  6.6581971  8.1926476  5.9466459 10.4964670
## 76   6.3571520  8.2692901  7.0211732  8.6084227  6.3867829 11.1358895
## 77   5.8687893  8.3626790  6.8347432  8.4430066  5.8797476 10.7742259
## 78   5.4715503  7.5524095  6.1747505  7.6651736  6.0354605 10.1412217
## 79   5.7765349  8.3979968  6.8588839  9.0253254  5.7605928 11.0846022
## 80   5.8548101  8.8690498  7.2939081  8.6612890  6.4340367 11.0110648
## 81   5.4513434  7.9780226  6.4103635  7.7640100  5.9574921 10.1844094
## 82   5.6960675  7.9531545  6.4280893  8.3321869  5.6668017 10.7431892
## 83   5.8658123  8.5614110  6.9386522  8.4805132  5.9640699 10.9198799
## 84   5.1385473  8.5311023  6.7437004  8.6067756  5.4477997 10.6903047
## 85   5.6766761  8.0945208  6.5770852  7.8981478  6.4692209 10.4175029
## 86   5.3166522  7.8482742  6.3259188  8.3755487  5.7622280 10.5722209
## 87   5.4986735  8.6759054  7.0149508  8.7790046  5.9212883 10.9720733
## 88   5.9375895  8.4278832  6.8464097  8.6469871  6.0096979 11.1452926
## 89   5.5744423  8.2428947  6.7818320  8.3698915  5.8006290 10.5968975
## 90   4.9314625  7.5529961  5.8679299  7.6957297  5.6006970  9.9813352
## 91   6.2681331  8.5389597  7.0062277  8.7778108  6.2669280 11.3392814
## 92   5.9213347  8.5137386  7.1506793  9.0031782  6.1343956 11.0927614
## 93   5.1521059  7.8853293  6.2311924  8.2931840  5.6168431 10.4942955
## 94   5.5660720  8.3555494  6.7787079  8.3203541  5.8347539 10.7271854
## 95   5.8742123  8.2534971  6.8239067  8.4948074  6.2436020 10.7949170
## 96   5.3308856  8.0197203  6.3808050  8.2089340  5.6994565 10.5588421
## 97   6.0855245  8.8172906  7.5242609  9.1094212  6.3845550 11.2200927
## 98   5.9606300  8.8901672  7.4138440  8.7121678  6.7101955 11.1143252
## 99   5.1904902  8.4957260  6.7417548  8.3381111  5.7920047 10.4961023
## 100  6.5073779  8.9902549  7.6269835  8.5853274  6.7221863 11.0952811
## 101  5.4896804  7.5765802  6.1086495  8.3897429  5.3636377 10.5826694
## 102  6.2151866  8.6693911  7.3176793  8.7466310  6.6651472 11.1650237
## 103  5.6750759  8.8207525  7.0073953  8.6173514  5.8187193 10.8913669
## 104  5.7596421  8.0624556  6.6283169  7.9384204  6.3276479 10.3904509
## 105  5.9382872  8.6884779  7.2478701  8.5343180  6.5363919 10.9069226
## 106  5.0702293  8.5776098  6.7985941  8.4604855  5.8115434 10.4715295
## 107  6.1234587  8.2629262  6.9048883  8.5620013  6.2993067 10.9600431
## 108  6.3761557  8.6025292  7.2044757  8.5155645  6.5542978 11.1228470
## 109  5.1148580  8.5080750  6.6809890  8.5907115  5.7959722 10.6585749
## 110  6.2952177  8.6593616  7.3700185  8.7125749  6.8360861 11.0988184
## 111  6.1754300  8.8980045  7.3924707  8.8586433  6.4310178 11.3060962
## 112  5.9418506  8.9004962  7.3681382  9.0114448  6.3764948 11.1847653
## 113  5.9553054  7.9838955  6.6810349  8.1663030  6.3117885 10.6119500
## 114  5.6146250  8.1274776  6.6672914  8.0911833  5.9101608 10.5015411
## 115  5.6821194  8.9920503  7.3347490  8.5500226  6.4204813 10.8079669
## 116  5.8113723  9.0256417  7.3987543  8.7482420  6.4618082 11.0230900
## 117  6.1487760  8.9653218  7.4613186  8.6489615  6.5220490 11.1112166
## 118  6.6400395  9.1348979  7.8048261  9.1063169  6.9189137 11.5539741
## 119  5.2095381  7.8679383  6.1919043  8.3993419  5.9150456 10.6404883
## 120  5.2518496  8.1111081  6.3952830  8.0396887  5.8123290 10.3841477
## 121  6.0610669  8.9347863  7.2358300  8.8274648  6.4722481 11.1513730
## 122  6.1481428  8.4633916  7.0558229  8.3942899  6.5693911 10.8206249
## 123  6.3804646  8.9081939  7.4345807  8.7225624  6.9348466 11.2755925
## 124  5.7023106  8.4473891  6.9754091  8.5165272  6.4102765 10.8632136
## 125  5.3787569  7.7349605  6.0835902  8.1647777  5.8305450 10.4526707
## 126  5.8136038  8.3945071  6.8075479  8.8183261  6.4202833 11.1923018
## 127  6.3763386  8.6393196  7.1876864  8.9297693  6.3649369 11.3702230
## 128  6.2850727  8.8378965  7.5641996  8.9014424  6.8065378 11.2078806
## 129  5.1178150  7.7858422  6.1133465  8.3158637  5.6668447 10.3832399
## 130  5.8148827  8.0125868  6.5041469  8.4779946  6.1983431 10.8973801
## 131  6.7108019  9.2555790  7.9226938  8.9103620  7.0717604 11.4453260
## 132  5.9576297  8.7306454  7.1635277  9.2895538  6.1160073 11.4334306
## 133  5.2625238  7.9345488  6.3456487  8.2905937  5.6173360 10.5356056
## 134  6.0826839  8.7957882  7.2655000  9.1147527  6.5198864 11.2134030
## 135  5.7500705  8.2805447  6.6986567  8.7088263  6.2973580 10.9508335
## 136  6.2646720  9.0291126  7.5124011  9.2348160  6.6542608 11.6929870
## 137  5.2591013  8.4888775  6.6450299  8.3974455  5.9612970 10.6512949
## 138  6.2012837  8.7174366  7.1649516  8.5953781  6.7957113 11.0982123
## 139  5.6802121  8.2698708  6.5880373  8.4036538  5.8879517 10.9077574
## 140  6.7623611  9.1013646  7.6786000  9.0951844  7.1416147 11.6999220
## 141  5.5758688  8.5371107  6.7445677  8.4080945  6.2050636 10.6240647
## 142  5.2750058  8.2905147  6.6135949  8.7516545  5.4451365 10.8454231
## 143  5.9060086  8.6933903  7.0319051  8.9499905  5.9565383 11.2882585
## 144  6.3462587  8.9204304  7.4991462  8.8596560  6.7048806 11.1988724
## 145  6.8641573  9.0682292  7.7639405  8.8392786  7.1236766 11.5349542
## 146  6.0248005  8.5569308  7.0991239  9.0411760  6.2876066 11.3636271
## 147  6.5009253  8.7053639  7.4046878  8.7975818  6.5076303 11.3201395
## 148  5.9948941  8.4077583  6.8412814  8.4182116  6.4294353 11.0104079
## 149  6.3328791  9.1151142  7.6364654  8.9287027  6.9201829 11.3907788
## 150  5.3654735  8.3251827  6.7189720  8.4020701  5.5722502 10.5637440
## 151  5.8787626  8.3959231  6.9860371  8.4532170  6.2116406 10.8291249
## 152  4.9905408  7.3792108  5.7821902  7.8047283  5.0986438 10.0528211
## 153  5.5401190  8.6181443  6.9629118  8.6265168  5.5547988 10.7498645
## 154  6.7257969  8.9981981  7.7234141  9.1176699  7.0668440 11.7119255
## 155  6.6232136  8.7681899  7.4688481  8.6744602  6.7318247 11.2198215
## 156  6.6230356  8.4955545  7.4003123  8.4905966  6.7810668 11.0004546
## 157  6.2968233  8.8160942  7.3182331  9.0937491  6.2805403 11.5520318
##             43         44         45         46         47         48
## 2                                                                    
## 3                                                                    
## 4                                                                    
## 5                                                                    
## 6                                                                    
## 7                                                                    
## 8                                                                    
## 9                                                                    
## 10                                                                   
## 11                                                                   
## 12                                                                   
## 13                                                                   
## 14                                                                   
## 15                                                                   
## 16                                                                   
## 17                                                                   
## 18                                                                   
## 19                                                                   
## 20                                                                   
## 21                                                                   
## 22                                                                   
## 23                                                                   
## 24                                                                   
## 25                                                                   
## 26                                                                   
## 27                                                                   
## 28                                                                   
## 29                                                                   
## 30                                                                   
## 31                                                                   
## 32                                                                   
## 33                                                                   
## 34                                                                   
## 35                                                                   
## 36                                                                   
## 37                                                                   
## 38                                                                   
## 39                                                                   
## 40                                                                   
## 41                                                                   
## 42                                                                   
## 43                                                                   
## 44   2.7914394                                                       
## 45   2.1603272  1.7360267                                            
## 46   2.5210253  3.7249387  2.7028621                                 
## 47   1.6829691  3.1544470  2.0933989  1.7984483                      
## 48   2.3726037  2.2209209  2.1997383  2.5083897  2.0654540           
## 49   2.2172410  3.0850585  1.7881709  2.3882571  2.2219956  2.5174764
## 50   1.9679628  2.8733814  2.3257681  2.0579021  1.4819280  1.8353167
## 51   1.9323136  2.6391247  1.8628627  1.9476540  1.5079602  1.7529428
## 52   2.4448135  3.1111682  2.6127214  2.1179705  2.2507887  2.7306054
## 53   2.3022166  1.9710669  1.7942545  2.9878520  2.4555312  1.6538101
## 54   2.3316405  3.1361677  2.0958296  1.8783588  2.2010410  2.8791570
## 55   2.0592112  3.4757043  2.3794550  1.3014004  1.5880080  2.6069588
## 56   1.6738768  2.7193160  1.8251524  1.9026858  1.6619108  2.2585863
## 57   2.1389099  2.9426858  2.2118165  2.4807292  1.9571405  2.5475209
## 58   2.5695919  2.2910402  1.3719219  3.0706253  2.3957846  2.2067384
## 59   2.1732317  3.8137546  2.6645325  1.5209625  1.5860772  2.7045202
## 60   1.7939258  2.2341293  1.0724138  2.5341612  1.6758358  1.8107564
## 61   1.9537612  1.8943562  1.9824018  2.5338115  2.1940082  1.5639651
## 62   2.3464082  1.9822583  1.8673743  2.9052901  2.5041733  2.0272393
## 63   1.8263307  1.9633499  1.4756019  2.9307987  2.1634661  2.1580181
## 64   2.1949121  3.7201881  2.5921635  0.8134495  1.6426829  2.6536170
## 65   2.3992718  3.3441976  2.2736826  2.0240542  2.2532669  3.0849852
## 66   1.6451948  2.9324579  2.0278789  1.8838217  1.3674333  2.4367577
## 67   2.5477401  2.9139208  2.1652779  1.9073935  2.0103794  1.6836868
## 68   2.2714404  2.3162311  2.4111301  2.4535265  2.4884442  1.9010796
## 69   2.6923887  2.8514284  1.7290619  2.0203681  2.3155235  2.0789824
## 70   2.4387928  3.0263262  2.8492109  2.9927233  2.5577782  2.7767567
## 71   2.4658357  1.9446892  2.0023041  2.2640451  2.2539795  1.5062003
## 72   3.0923002  4.1652785  2.9851690  1.2779905  2.2767662  3.2634405
## 73   3.1539439  3.6592329  2.4619021  2.3085632  2.4927002  2.8476791
## 74   2.2664844  2.2788751  1.5046901  2.0645215  2.1463331  2.2038100
## 75   2.0953400  2.8682579  1.7963251  1.2470276  1.5601417  1.9254351
## 76   1.8646027  1.8516267  1.9303548  3.0208928  2.3029325  2.1786784
## 77   2.5128737  2.8766311  2.2180316  1.7149837  2.3258788  2.2872415
## 78   1.7404842  2.7338984  2.2003110  2.5988676  1.5203449  2.2127795
## 79   3.2637374  3.5841515  2.3863878  3.5141877  2.9724433  3.3342813
## 80   2.3986512  2.0758574  1.0256658  2.3147093  2.3817013  2.3631776
## 81   1.7510223  3.0672051  2.3837991  2.4911125  1.6337565  2.4966499
## 82   1.7226242  2.6644601  1.9456439  2.0724056  2.1505006  2.4316375
## 83   2.7384517  3.3087488  2.5416751  1.8203775  2.0420170  2.3710245
## 84   2.5471547  2.7180795  1.7772967  3.0207970  2.5335072  2.5331182
## 85   1.7485050  2.8447359  1.9340260  1.9886807  0.9443342  2.2614350
## 86   1.9474010  2.7050534  1.8440496  2.4449110  1.7613483  1.8977958
## 87   2.4654078  2.9246220  1.7915948  1.9125849  1.9358499  1.9085573
## 88   2.1339293  2.6224384  1.6761223  2.4076132  2.1085657  2.6066640
## 89   1.7999310  2.0746022  1.0811406  2.6158499  2.1907393  2.1997836
## 90   2.2296951  3.3123514  1.8758764  1.9238123  1.7247311  2.8193167
## 91   2.2468469  3.2747084  2.2340036  1.6956276  1.8059766  2.6739010
## 92   3.1872336  2.8975998  2.0388369  2.7052706  2.8030338  2.3400689
## 93   2.4504962  3.2668120  1.8794816  2.5904460  1.8976666  2.7035152
## 94   1.5190157  2.2031686  1.1472830  2.2946077  1.8847972  2.2384258
## 95   3.0535805  3.5246092  2.6345188  1.7630651  1.8965207  2.1483476
## 96   1.9057761  2.6521161  1.6092781  1.8453797  1.8630395  2.2529302
## 97   2.6433207  1.9656575  1.9559885  3.1608907  2.7192851  1.4260502
## 98   2.1754617  1.5843665  1.3080865  2.6811403  1.9793075  1.5228084
## 99   2.5054766  3.0922356  1.6592232  2.5191771  2.0226919  2.6629238
## 100  3.1120199  2.4726315  2.6039794  2.9496552  3.0862266  2.6863293
## 101  2.1538978  3.3707643  2.2503857  2.1544116  1.6812371  2.3092834
## 102  2.3754878  2.5393805  2.0098878  1.8431423  1.4992630  1.1297738
## 103  3.2255195  3.4775083  2.3063173  2.7614392  3.0210211  3.5211594
## 104  2.1969438  2.7052949  2.4818906  2.9032862  1.9965931  2.3138797
## 105  2.3179478  2.3157967  1.9559991  1.9776056  1.9639749  1.4336915
## 106  2.9296432  3.3567694  1.8873591  2.6956112  2.4947551  2.9317805
## 107  2.4786955  2.8527976  2.3063730  1.8214975  1.7203182  1.6766972
## 108  2.1577936  2.8020900  2.3855672  1.7314613  1.7749631  2.0490088
## 109  3.0123004  3.2711070  1.8763440  2.8424612  2.6090460  3.0317280
## 110  2.6138379  2.8111445  2.8276830  2.4772515  2.4261413  1.6829793
## 111  2.2640656  2.1722095  1.4747213  1.9085093  2.3254528  2.1461562
## 112  3.0079261  2.6601200  2.3163146  2.4167110  2.4846435  1.5588196
## 113  2.2231101  2.3042282  1.9966394  3.0746427  2.6802412  2.8424797
## 114  2.0072595  2.2546338  1.6812272  2.2487785  1.7789201  1.8490535
## 115  2.9232757  2.2956981  1.8270345  3.3077532  2.6340738  2.5261553
## 116  2.3726935  2.0072809  1.5686706  2.5782391  2.3968676  1.9945673
## 117  2.5270370  1.8486051  2.1465736  3.3643745  2.7364757  2.3471130
## 118  2.5772217  1.8197947  1.7602260  2.2312482  2.3996406  1.6136836
## 119  2.1359201  3.5827321  2.1621320  2.3000852  1.7584627  2.8378796
## 120  2.4687341  3.4084916  2.5341777  1.6727467  1.6153548  2.2271877
## 121  3.5597513  3.7079830  2.4862604  3.1828716  3.0153020  3.7275863
## 122  2.4837029  3.1165467  2.6068806  1.5676412  1.8599075  1.9936718
## 123  2.7833970  2.8036360  2.8065359  2.6991782  2.2351304  2.0243509
## 124  1.7948402  1.8928348  1.3836444  2.7856707  2.2749343  2.1526732
## 125  2.3870762  3.9284279  2.3741095  2.2110723  1.7637354  3.2526470
## 126  2.0148439  2.9214398  1.6729599  2.0198063  1.5533361  2.2978833
## 127  2.9548715  3.6898932  2.6136904  1.5533252  2.2482718  2.7930103
## 128  2.4552734  1.5759944  1.5886361  2.6739664  2.3409506  1.3002911
## 129  2.9788995  3.8841376  2.3976673  2.9044141  2.3414474  3.2837367
## 130  2.6698386  3.4993019  2.2741406  2.2016505  1.9867971  2.9097728
## 131  2.6114017  1.3688605  1.6516636  3.0322943  2.7019637  2.3006065
## 132  3.2724786  3.4607470  2.4102064  3.0888426  2.8569674  2.9367717
## 133  1.9399004  3.1420136  1.7079476  2.1207820  1.3701422  2.3176657
## 134  3.7963498  4.2193433  2.9081611  2.2740767  3.0342285  3.3738766
## 135  2.9186352  3.4489462  2.1686327  2.3575286  2.1499472  2.8094603
## 136  2.4547307  2.3951146  1.4637610  2.5278586  2.1790365  2.2368618
## 137  2.7516562  3.3232301  2.0208319  2.4173969  2.0305528  2.8082746
## 138  2.8294905  3.4191313  2.3041482  1.5231990  1.7527950  2.6785737
## 139  2.2838009  3.2507230  2.2343557  2.1575181  1.7067399  2.6342488
## 140  2.7871513  3.0720611  2.5923936  1.4907925  2.1104526  2.1651536
## 141  3.3547799  4.3709619  2.8986343  2.3695599  2.3595176  3.5561297
## 142  2.5876801  2.9351954  1.8178681  3.1814155  2.8534460  2.9725701
## 143  2.6378500  2.9425264  1.8612080  2.4739565  2.3453396  2.6593116
## 144  2.9845271  2.9413686  2.2436369  1.5164932  2.2772872  2.0561734
## 145  2.4385870  2.3673796  2.7965968  3.0790599  2.7756534  2.4895854
## 146  2.6674127  2.7826394  2.1408301  2.0129629  2.2288938  1.7802129
## 147  2.1586868  2.2352512  1.8229935  1.9379439  1.8984904  1.6966917
## 148  1.9459832  3.1226078  2.2103446  1.5261319  1.0427643  2.2400862
## 149  2.7004908  2.5265809  2.2213053  1.7656621  2.2420836  1.7026712
## 150  2.8013448  3.0238854  1.8741284  2.1642541  2.2091218  2.3123239
## 151  2.0087259  2.5398941  1.8800700  2.2448553  1.2201209  1.3757013
## 152  1.5609755  3.0011371  1.8239335  2.3848246  1.5779045  2.4685569
## 153  2.8698861  2.8087287  1.7063749  2.7474108  2.6259112  2.6662478
## 154  2.5023571  2.2281152  2.0244134  2.1006195  1.9850327  1.4979720
## 155  2.6591590  2.4899967  2.9509214  3.2714303  2.9317180  2.4626764
## 156  2.4855854  2.6951180  2.9273606  2.9077028  2.4169327  1.9049413
## 157  2.5274550  3.1589092  2.3404747  1.5296888  1.8569390  1.9609753
##             49         50         51         52         53         54
## 2                                                                    
## 3                                                                    
## 4                                                                    
## 5                                                                    
## 6                                                                    
## 7                                                                    
## 8                                                                    
## 9                                                                    
## 10                                                                   
## 11                                                                   
## 12                                                                   
## 13                                                                   
## 14                                                                   
## 15                                                                   
## 16                                                                   
## 17                                                                   
## 18                                                                   
## 19                                                                   
## 20                                                                   
## 21                                                                   
## 22                                                                   
## 23                                                                   
## 24                                                                   
## 25                                                                   
## 26                                                                   
## 27                                                                   
## 28                                                                   
## 29                                                                   
## 30                                                                   
## 31                                                                   
## 32                                                                   
## 33                                                                   
## 34                                                                   
## 35                                                                   
## 36                                                                   
## 37                                                                   
## 38                                                                   
## 39                                                                   
## 40                                                                   
## 41                                                                   
## 42                                                                   
## 43                                                                   
## 44                                                                   
## 45                                                                   
## 46                                                                   
## 47                                                                   
## 48                                                                   
## 49                                                                   
## 50   2.6374791                                                       
## 51   2.0449221  0.9178298                                            
## 52   3.2798006  1.8694237  1.8320829                                 
## 53   2.3444976  1.8894456  1.4477749  2.4919123                      
## 54   2.4632717  2.1165272  1.7040462  1.3538658  2.3537725           
## 55   2.2159431  1.5574851  1.3238479  1.7138754  2.4968684  1.1703712
## 56   2.2197302  1.2722698  1.2519331  1.5861814  1.8889932  1.2672969
## 57   2.7626173  2.1358227  1.7108223  1.4619777  2.1206157  1.5111275
## 58   1.6925913  2.3772474  1.8025582  3.1081521  1.5759462  2.5423434
## 59   2.2425200  1.7533199  1.4562673  1.9512115  2.5467387  1.6370723
## 60   1.3537358  2.1772742  1.6368510  2.7474182  1.6077362  2.2494105
## 61   2.7581191  1.9575984  1.7487653  1.7997642  1.5911756  2.2232287
## 62   2.7244493  2.2402684  1.8685876  2.2010631  1.4150204  2.3408355
## 63   2.2168574  2.1373018  1.7097523  2.4456541  1.4959490  2.3826637
## 64   2.2780562  2.1712631  1.9276164  1.9106135  2.8852706  1.6044236
## 65   2.5653262  2.4054464  1.9403769  1.4407195  2.6115469  0.6092755
## 66   2.6175965  1.9617014  1.9418852  1.5536930  2.5547886  1.6117125
## 67   2.0690825  1.4231301  1.2883949  2.4581143  1.7884070  2.1979720
## 68   3.1298481  2.1664914  2.0796601  1.6390639  2.0465680  2.1846089
## 69   1.4282303  2.4308720  2.0073991  2.9423063  2.1260494  2.2581016
## 70   3.6473710  2.0010665  2.0713542  1.3421992  2.2170937  2.1579107
## 71   2.9262156  1.9917104  1.9591177  1.9293142  2.0801810  2.2213280
## 72   2.7459073  2.3758093  2.1534879  2.2264709  3.3460871  1.6946060
## 73   1.7275301  2.6157371  2.1732593  3.3712078  2.9135630  2.6430456
## 74   2.2090422  1.7040553  1.2132787  1.5196627  1.6341474  1.1025362
## 75   1.9158486  1.7072221  1.4208216  1.8494680  2.0175098  1.5395137
## 76   2.9024279  1.6634741  1.8219200  2.1861817  1.8207223  2.3649208
## 77   2.5643004  1.7256215  1.4964851  1.3799276  1.9847583  1.2049200
## 78   2.8619117  1.0487859  1.3422323  1.7623997  1.8883030  2.1457032
## 79   2.0787441  3.4187095  2.9342164  4.0150358  3.0358021  3.1125186
## 80   1.8988725  2.4470376  1.8728811  2.2414398  1.9294622  1.6100459
## 81   2.9193152  1.9680806  1.8848763  1.7549679  2.3045442  2.1144995
## 82   2.1725441  1.5612855  1.3801161  1.7578493  1.8703188  1.3260593
## 83   2.8376960  2.1606349  1.8817287  1.6564242  2.5529879  1.6516568
## 84   1.8432983  2.6415471  1.8188300  2.8044577  1.5760042  2.1557360
## 85   2.5977264  1.5652774  1.6126262  1.6853446  2.4166336  1.9553145
## 86   1.6404204  1.4117824  1.0434991  2.6603467  1.5059272  2.3419447
## 87   1.3085201  2.4074555  1.7605256  2.7331294  2.0870381  2.1731060
## 88   2.1688012  2.2482514  1.8983423  2.2444729  2.3586316  1.6255978
## 89   1.7000495  2.2430099  1.8055599  2.4837096  1.4898964  1.9758092
## 90   1.8604140  1.8788233  1.4918615  2.1582080  2.3275459  1.3009814
## 91   2.4023072  2.4188783  2.2678252  2.3522287  3.0365317  1.8386568
## 92   1.8758120  2.5627591  2.1412413  3.3255908  2.1615744  2.6484460
## 93   1.6003718  2.3727980  1.8728026  3.0237539  2.3914786  2.2335046
## 94   1.7910770  2.2136857  1.7369625  2.0415244  1.8012951  1.5441670
## 95   2.6854405  1.8706454  1.7882689  2.4568335  2.6230141  2.2948329
## 96   1.7496533  1.5260273  0.9746445  1.7667261  1.6707162  1.1002401
## 97   2.2337460  2.4211624  2.0503000  3.2511219  1.2629790  3.1157830
## 98   2.3296450  1.9849004  1.5258875  2.2963730  1.4237265  2.3261395
## 99   1.6748972  2.8283097  2.1881000  2.8235949  2.4102036  2.1438137
## 100  3.6913609  2.4515563  2.3331859  1.4450809  2.2838572  2.0144843
## 101  1.7673938  1.8012219  1.6874241  2.8493992  2.3232521  2.3210827
## 102  2.4491940  1.6200344  1.6003239  2.2448180  2.1264817  2.4262291
## 103  2.6005709  3.2902504  2.6690183  2.6267114  2.9643851  1.5326675
## 104  3.3215574  1.4411173  1.5839603  1.6338188  1.9344299  2.3202567
## 105  2.5083413  1.6469367  1.4008464  1.8156658  1.6640338  2.0887835
## 106  1.4658052  3.1461528  2.4398032  3.2595901  2.5841404  2.4285047
## 107  2.7053612  1.0674262  1.2938070  1.8733137  2.0816450  2.0572522
## 108  3.0467910  1.7505130  1.8835678  1.2831306  2.5159495  1.8567862
## 109  1.6057036  2.9146692  2.1400725  3.1689187  2.4132683  2.1863309
## 110  3.1789699  1.7279829  1.8822754  2.3358300  2.1481369  2.8834215
## 111  2.0713473  2.2367738  1.8375339  1.9878929  2.0635830  1.5332343
## 112  2.5177115  1.8789837  1.3691433  2.4584860  1.5370731  2.4281904
## 113  2.9199495  1.9676537  1.9401754  2.2175260  1.9710301  2.0407523
## 114  2.5052030  1.3768191  1.1393230  1.3397634  1.3859820  1.5006760
## 115  2.8063379  2.7056972  2.1132911  2.4910446  1.8798814  2.4191000
## 116  2.2480814  2.2932618  1.6909089  2.1876679  1.5208897  2.0987790
## 117  3.2618843  2.3881822  2.0731108  1.9934420  1.7153151  2.4199087
## 118  2.6489509  2.0123990  1.8706696  2.0973812  1.9521663  2.1928958
## 119  1.1499642  2.4810769  2.0933789  3.3266127  2.8308729  2.5713537
## 120  2.6169114  1.5829636  1.2177605  1.5551783  2.2100385  1.6452135
## 121  2.8606146  3.5376924  3.0654367  3.3184423  3.5032080  2.4769164
## 122  3.0170930  1.5386936  1.7125615  1.5782178  2.4419028  2.0969608
## 123  3.5435634  1.7223822  1.7859534  1.7457118  2.3455632  2.5730432
## 124  1.9349833  2.0902065  1.6990114  2.5944842  1.5735231  2.3575113
## 125  1.8659865  2.7288773  2.4788793  3.1964585  3.2867110  2.3694985
## 126  1.2727957  2.0703472  1.7215348  2.9377774  2.5172781  2.3238597
## 127  2.5163535  2.7260742  2.5740806  2.7893145  3.3125005  2.2068343
## 128  2.4026011  1.9032872  1.7171779  2.5794519  1.4165324  2.6364254
## 129  1.8221742  2.8991680  2.4645046  3.6096436  3.0180832  2.7226466
## 130  2.2119109  2.2939624  2.1268715  2.8757412  2.9817804  2.1831635
## 131  3.1310392  2.5526516  2.3725528  2.1152930  2.1584550  2.3264576
## 132  1.9029722  3.1608483  2.6731323  3.8153086  2.9323789  3.0474228
## 133  1.2691741  2.2743819  1.8445382  2.8648144  2.3459169  2.1738865
## 134  2.2546523  3.4213482  3.0320141  3.7944426  3.6278476  2.8943206
## 135  1.9077281  2.4121612  2.0922707  3.1523786  2.8481178  2.4521210
## 136  1.7799623  2.6380833  2.1747641  3.0240737  2.4878593  2.4228524
## 137  2.0360546  2.5667662  1.9508516  2.6065896  2.5786735  1.9820268
## 138  2.6652517  2.3664813  2.2175403  2.2718282  3.1413154  1.9620058
## 139  2.4629039  2.1845366  1.8613040  2.1314728  2.6457751  1.7170401
## 140  2.9830633  2.0766187  2.1515634  2.0683850  2.9819388  2.3019762
## 141  2.5980534  3.3927187  3.0097899  3.3078233  3.7667533  2.6554455
## 142  1.3064018  2.9474521  2.2743741  3.4082143  2.1479795  2.4686765
## 143  1.9337209  2.6219631  2.1138276  2.7477045  2.5138413  1.9954533
## 144  2.6541954  2.1292745  1.9416317  2.1140192  2.4749707  1.9673018
## 145  3.7868753  2.3430263  2.4795193  1.8576474  2.5901949  2.6857330
## 146  1.9935808  1.7432429  1.3980387  2.6483274  1.9940016  2.2536456
## 147  2.6104847  1.8794378  1.8947110  1.8723368  2.1989123  1.9694773
## 148  2.5456000  1.8203268  1.7716060  1.8346770  2.7346929  1.8661920
## 149  2.7208475  1.9172584  1.6819005  1.8514063  2.1803903  2.0941619
## 150  1.9509680  2.3423086  1.7487474  2.4201742  1.9991820  1.7101269
## 151  2.4041789  1.7841002  1.6462528  2.2581927  1.9607555  2.3920510
## 152  1.8276232  1.7334348  1.4383197  2.2793198  1.8595330  1.7628341
## 153  2.0510528  2.7981770  2.1535902  2.6517342  2.0506120  1.8617886
## 154  2.7453872  1.8754757  1.9019138  2.3010990  2.3679867  2.4186492
## 155  3.8748287  2.0656490  2.2474193  1.7682156  2.2067147  2.6867358
## 156  3.7083856  1.9216650  2.3309083  2.1366936  2.3837731  2.9973349
## 157  2.2741276  2.3060677  2.0593501  2.5145447  2.7110868  2.1911525
##             55         56         57         58         59         60
## 2                                                                    
## 3                                                                    
## 4                                                                    
## 5                                                                    
## 6                                                                    
## 7                                                                    
## 8                                                                    
## 9                                                                    
## 10                                                                   
## 11                                                                   
## 12                                                                   
## 13                                                                   
## 14                                                                   
## 15                                                                   
## 16                                                                   
## 17                                                                   
## 18                                                                   
## 19                                                                   
## 20                                                                   
## 21                                                                   
## 22                                                                   
## 23                                                                   
## 24                                                                   
## 25                                                                   
## 26                                                                   
## 27                                                                   
## 28                                                                   
## 29                                                                   
## 30                                                                   
## 31                                                                   
## 32                                                                   
## 33                                                                   
## 34                                                                   
## 35                                                                   
## 36                                                                   
## 37                                                                   
## 38                                                                   
## 39                                                                   
## 40                                                                   
## 41                                                                   
## 42                                                                   
## 43                                                                   
## 44                                                                   
## 45                                                                   
## 46                                                                   
## 47                                                                   
## 48                                                                   
## 49                                                                   
## 50                                                                   
## 51                                                                   
## 52                                                                   
## 53                                                                   
## 54                                                                   
## 55                                                                   
## 56   1.1621997                                                       
## 57   1.8032413  1.7458432                                            
## 58   2.5280253  2.0899550  2.4298218                                 
## 59   0.9465521  1.5950162  1.8269313  2.6485640                      
## 60   2.2050207  1.8791875  1.9862895  1.2306280  2.2601074           
## 61   2.4417119  1.9662326  1.8169256  2.5438904  2.5456890  1.9329867
## 62   2.7250759  2.2441137  2.1611083  2.4752148  2.7308736  1.9563572
## 63   2.5792409  2.0772338  2.1302695  2.0453305  2.5472992  1.4962800
## 64   1.2117416  1.8184689  2.0082017  3.0071459  1.1674572  2.3143019
## 65   1.3463394  1.5860888  1.2779037  2.6704589  1.6252549  2.3265153
## 66   1.6466877  1.3975631  1.4613737  2.7206486  1.8899581  1.9725954
## 67   1.7723739  1.5197346  2.5388470  1.8726679  1.9218705  1.9979756
## 68   2.4758642  2.0739948  1.9837313  3.0307629  2.6977250  2.4360284
## 69   2.2127377  2.0056783  2.7964417  1.8519965  2.3685839  1.6638481
## 70   2.4758346  2.0610784  1.7957205  3.2978921  2.5021927  2.8703251
## 71   2.3628249  1.9266959  2.2033613  2.6027987  2.7955480  2.1951764
## 72   1.1580559  2.0628773  2.5264681  3.1499527  1.5782391  2.9597487
## 73   2.1246891  2.3868360  3.1007307  1.9535044  2.3120012  2.3065989
## 74   1.5389250  1.1174077  1.6848064  1.8622886  1.9563829  1.8494337
## 75   1.4803944  1.3914384  1.9974711  2.3003553  1.5540856  1.7102771
## 76   2.3958275  1.4749735  2.2291365  2.2058232  2.8084878  2.1735399
## 77   1.4842630  1.2482213  1.9724513  2.5224004  1.8587055  2.3729965
## 78   1.9311828  1.3561655  1.7534735  2.3871526  1.9507445  2.0895856
## 79   2.9720263  2.8574083  3.1498791  1.7103148  3.1813382  2.1118080
## 80   2.1678482  1.8377391  2.1417316  1.9400367  2.4895312  1.5918325
## 81   2.1637675  1.9798858  1.5421934  2.9669784  1.9979291  2.1351115
## 82   1.3883491  0.7863965  2.0514379  2.2566274  1.8542296  2.0824404
## 83   1.6090261  1.8350267  1.4242430  2.6212118  1.8199943  2.3552521
## 84   2.4010566  2.2727058  1.8341860  1.3836770  2.3330325  1.3731135
## 85   1.7681673  1.5538071  1.6763407  2.5682431  1.8209030  1.8971566
## 86   1.8968069  1.5581353  2.3396056  1.3509599  1.8596274  1.4749595
## 87   2.0292622  2.1475988  2.1832474  1.7607273  1.9597961  1.2644488
## 88   1.7089280  1.4051865  1.7919703  1.8159105  2.2561695  1.8031745
## 89   2.3024841  1.6692721  2.1857542  1.7761133  2.4234413  1.2272036
## 90   1.1411322  1.2068623  1.9911280  2.0000272  1.3197844  1.8697945
## 91   1.5950406  1.8093836  2.1746491  2.7321664  2.2179232  2.1806333
## 92   2.5272377  2.2512418  3.1073793  1.4630080  2.7828080  2.0634806
## 93   1.9121008  1.9445414  2.2527583  1.3628122  2.0210044  1.4768614
## 94   1.9369305  1.4887158  1.5748214  1.9335447  2.1154415  1.1677322
## 95   1.7562492  2.0000351  2.4113695  2.4381510  1.9538037  2.4084106
## 96   1.1358612  0.8659860  1.7579834  1.7650043  1.4665577  1.6591194
## 97   3.1066540  2.5978067  2.9719250  1.8849155  3.0980754  1.7337749
## 98   2.4690680  2.0881562  1.9334479  1.8289581  2.5989776  1.3393346
## 99   2.2953097  2.3037244  1.9098087  1.8526231  2.1704743  1.2494844
## 100  2.6746836  2.2088965  2.1428289  3.1545657  3.0438299  2.9920346
## 101  1.6462763  1.5247803  2.4753182  1.8263353  1.7729115  1.8126656
## 102  2.0945488  1.8897810  2.2165484  2.2349543  2.2398422  1.8248131
## 103  2.2509384  2.3854334  2.1128882  2.5675954  2.6166817  2.4842608
## 104  2.3165333  1.8960784  1.7027646  2.7635980  2.3362920  2.4291633
## 105  2.1374349  1.8810380  2.0936482  2.4464241  2.1923563  1.9473713
## 106  2.5749476  2.6289003  2.5129076  1.9074914  2.4063420  1.5715047
## 107  1.6158446  1.4009081  2.1304524  2.3141898  1.9701100  2.2441977
## 108  1.8360815  1.6862884  1.8329431  3.0471496  2.2103286  2.4180194
## 109  2.2908123  2.4096012  2.4178899  1.4619735  2.3650005  1.7254102
## 110  2.6781396  2.4393294  2.8461221  3.1679263  2.6753802  2.7226775
## 111  1.9427195  1.6171016  2.1886963  2.2543465  2.4005989  1.8704518
## 112  2.3122508  2.2478115  2.4054682  2.0491987  2.3712076  2.1607018
## 113  2.3727676  1.6080348  2.5482408  2.5414970  2.8148171  2.4712972
## 114  1.7055925  1.0578584  1.2349536  1.9090207  1.8805599  1.7173218
## 115  2.8184462  2.4640740  1.6392252  1.7888789  2.8070733  1.8721085
## 116  2.4703431  2.1709369  2.0217254  2.1465103  2.4989209  1.6874086
## 117  2.8422781  2.2744987  1.6219862  2.4159515  2.9679511  2.2763536
## 118  2.3814844  1.9002043  2.4608760  2.3997516  2.7988355  2.1442405
## 119  1.9983409  2.2387274  2.8488440  2.1478874  2.0170137  1.6965489
## 120  1.3021774  1.7443591  1.4108974  2.5550885  1.0897965  2.1914960
## 121  2.7001756  2.7844090  2.6613020  2.5214225  3.0968338  2.6516503
## 122  1.9094673  1.9004764  2.2850361  3.1465632  2.0537685  2.5829632
## 123  2.4224362  2.3131262  1.9147615  2.9512631  2.5710457  2.7254730
## 124  2.4823962  1.9420984  2.4931832  1.9599707  2.5886133  1.5635935
## 125  1.8931797  2.1961888  2.7351490  2.5897034  2.0689442  2.0891232
## 126  1.7941154  1.8932712  2.6145129  1.8316169  2.1279661  1.4736641
## 127  1.8986877  2.2061238  2.7664182  2.9277192  2.4293716  2.5560490
## 128  2.6844212  2.0802154  2.6655137  1.9832638  2.8573741  1.8068772
## 129  2.3319271  2.4751230  2.9089326  1.8760269  2.3866328  2.0550094
## 130  1.6643638  1.8104423  2.6199539  2.1635434  2.1918693  2.2406061
## 131  2.8633562  2.1861331  2.2106735  2.5652645  3.2521947  2.2561816
## 132  2.7618987  2.7445147  3.1434149  1.6301792  2.9639792  2.1381200
## 133  1.8301675  1.8809687  2.1549061  1.7721329  1.8458185  1.0379942
## 134  2.6397248  2.9995285  3.6760196  2.9309289  2.9114439  2.8680015
## 135  1.9733746  2.0775421  2.8116338  1.7868171  2.2901158  2.1073860
## 136  2.3342180  2.2274379  2.4744849  1.6657837  2.7693317  1.4446219
## 137  1.9040389  2.1185636  1.7745865  1.7711132  1.9040811  1.7751967
## 138  1.7273578  2.0586545  2.2929795  2.8036181  2.1951310  2.3811708
## 139  1.4599368  1.7079478  1.4224842  2.2519086  1.8279323  1.9787918
## 140  2.0051337  2.0901376  2.5817667  3.0631367  2.4874178  2.7062766
## 141  2.4332175  2.8894333  2.7249613  3.0322078  2.3963943  2.6239502
## 142  2.5594244  2.3116793  2.7180288  1.2730414  2.6734337  1.6335285
## 143  1.9756377  1.9257403  2.1144375  1.6266875  2.3664748  1.7982786
## 144  2.0069546  2.0345551  2.5404806  2.7523193  2.3906913  2.4172035
## 145  2.9232217  2.4747266  2.4099947  3.5357502  3.2324538  2.9861658
## 146  1.8198325  1.8096525  2.6312429  1.8068963  2.2063059  2.0270779
## 147  2.0198341  1.5217120  2.0591480  2.4439320  2.4748339  1.9848307
## 148  1.4441177  1.6906474  1.6943988  2.6995830  1.7826432  2.0167723
## 149  2.1247894  2.0893449  2.3298167  2.7301609  2.3882268  2.3358026
## 150  1.8358539  1.8096587  1.8826712  1.6246530  1.9367327  1.6786416
## 151  2.1650312  1.8972087  1.7065061  2.0920601  2.1512278  1.4076721
## 152  1.5596127  1.1188035  1.7200027  1.7365201  1.5153349  1.4611096
## 153  2.2983593  2.0561027  1.9078704  1.5413569  2.4450693  1.6849754
## 154  2.2282001  1.9742670  2.4555713  2.4610639  2.7345655  2.1441887
## 155  2.8943848  2.3412510  2.3320852  3.3446453  3.1114028  3.0834417
## 156  2.9370781  2.3992747  2.5910793  3.4068604  3.0127748  2.8702640
## 157  1.8115235  2.0757796  2.2600513  2.5219750  2.1994759  2.0268223
##             61         62         63         64         65         66
## 2                                                                    
## 3                                                                    
## 4                                                                    
## 5                                                                    
## 6                                                                    
## 7                                                                    
## 8                                                                    
## 9                                                                    
## 10                                                                   
## 11                                                                   
## 12                                                                   
## 13                                                                   
## 14                                                                   
## 15                                                                   
## 16                                                                   
## 17                                                                   
## 18                                                                   
## 19                                                                   
## 20                                                                   
## 21                                                                   
## 22                                                                   
## 23                                                                   
## 24                                                                   
## 25                                                                   
## 26                                                                   
## 27                                                                   
## 28                                                                   
## 29                                                                   
## 30                                                                   
## 31                                                                   
## 32                                                                   
## 33                                                                   
## 34                                                                   
## 35                                                                   
## 36                                                                   
## 37                                                                   
## 38                                                                   
## 39                                                                   
## 40                                                                   
## 41                                                                   
## 42                                                                   
## 43                                                                   
## 44                                                                   
## 45                                                                   
## 46                                                                   
## 47                                                                   
## 48                                                                   
## 49                                                                   
## 50                                                                   
## 51                                                                   
## 52                                                                   
## 53                                                                   
## 54                                                                   
## 55                                                                   
## 56                                                                   
## 57                                                                   
## 58                                                                   
## 59                                                                   
## 60                                                                   
## 61                                                                   
## 62   1.0570236                                                       
## 63   1.4384191  1.0075857                                            
## 64   2.3688106  2.7051419  2.6635223                                 
## 65   2.3604713  2.5582302  2.5205660  1.5813502                      
## 66   1.8533053  2.3526199  2.2321479  1.5145577  1.5875400           
## 67   2.3119036  2.4875498  2.4721229  2.2050311  2.5194007  2.4144481
## 68   0.7925358  1.5512247  2.0770850  2.3426608  2.3630632  1.8764567
## 69   2.4924143  2.4693476  2.4261322  2.1824990  2.5369943  2.4807403
## 70   1.6947467  1.8009267  2.1552636  2.6990375  2.3139989  2.0979576
## 71   1.2982021  1.9668162  2.3109014  2.4199912  2.4619685  1.8621323
## 72   3.2091047  3.4647507  3.4124180  1.4944351  1.7737881  2.3195913
## 73   3.4213386  3.5465356  3.2050296  2.5573466  2.7572662  3.0374986
## 74   1.7169410  1.8182237  1.8530985  2.0394288  1.4395739  1.8401203
## 75   1.7620168  1.8741836  1.9533109  1.2154652  1.8007977  1.5305290
## 76   1.8396761  2.2443393  2.0109011  2.9928805  2.6044804  2.0660608
## 77   1.8804339  2.1010187  2.3746129  1.8016628  1.6196025  1.9302962
## 78   1.8505056  2.0655722  1.8225323  2.4172094  2.2949890  1.7021640
## 79   3.7940195  3.8658487  3.4080300  3.4220796  3.1243304  3.2476784
## 80   1.8264172  1.6717263  1.6642897  2.2151019  1.8452938  2.0489736
## 81   1.6312550  1.7486978  1.6977996  2.0106885  2.1216092  1.4330912
## 82   1.9621192  2.1416586  1.9935875  2.0132871  1.7224730  1.8629940
## 83   2.2469016  2.7853851  2.9207054  1.7163372  1.5504263  1.6889025
## 84   2.3314640  2.1191146  1.8581004  2.6930622  2.1440719  2.6280801
## 85   1.8145671  2.1195850  1.8634949  1.7439977  1.9851718  0.9875284
## 86   2.2617660  2.2801300  1.8064296  2.4330404  2.5449893  2.4083857
## 87   2.2147488  2.3309290  2.2003092  1.8146675  2.2022095  2.2291908
## 88   2.4339218  2.8299208  2.5234223  2.2903831  1.6368112  1.7416144
## 89   1.7255591  1.4541005  1.1457786  2.3836450  2.2183930  2.0079435
## 90   2.6593674  2.6166576  2.3053098  1.7447038  1.4937940  1.8668320
## 91   2.6348200  3.1499366  2.9924549  1.6794469  1.8661045  1.4196977
## 92   2.9985726  3.0000863  2.8802083  2.9550946  2.9322519  3.0952927
## 93   3.0069829  3.0703286  2.6000458  2.4404998  2.2485517  2.3708831
## 94   1.5286346  1.6385501  1.3572787  1.9230660  1.6116029  1.3988646
## 95   2.7690852  3.1142765  3.1615811  2.0843659  2.4452041  2.3138441
## 96   1.9474232  2.0065431  1.8149820  1.7522921  1.4212973  1.8141481
## 97   1.8914003  1.6710980  1.6767968  3.1896778  3.3675045  3.0500365
## 98   1.1737935  1.1706777  1.1248551  2.5771403  2.4613230  2.1035702
## 99   2.5310140  2.4975523  2.1830520  2.1119580  1.9965076  2.0652814
## 100  1.7376879  1.9739715  2.5798058  2.9197792  2.2741269  2.3888641
## 101  2.8467217  3.1022978  2.7316231  2.1901841  2.4786276  2.2160210
## 102  1.7466285  2.2692989  2.3030582  2.0506146  2.5665626  1.8309580
## 103  3.0847531  3.1320076  3.1000658  2.4844900  1.4153771  2.4739262
## 104  1.6481421  1.8108774  1.8497167  2.6990925  2.4514779  2.0013844
## 105  1.0387498  1.1880153  1.6143596  2.0208319  2.3341766  1.9975426
## 106  2.9294817  2.7285089  2.4290055  2.3921747  2.3642860  2.6624561
## 107  2.0685588  2.5313678  2.5990824  2.1082388  2.3180471  1.9255361
## 108  1.5085398  2.1970587  2.4350949  1.7302611  2.0121506  1.1691346
## 109  3.0976192  2.9191555  2.5812568  2.6626551  2.1930843  2.8445551
## 110  1.5711020  1.7575229  2.1474952  2.6360486  3.1681832  2.6786928
## 111  1.6645888  1.8869623  1.9988313  1.9562110  1.8281477  1.8559540
## 112  1.9831504  2.0207726  2.2875704  2.5975897  2.6694019  2.8171988
## 113  2.1980589  2.0153326  1.9025332  3.0180764  2.4683988  2.4271304
## 114  1.3592039  1.6662692  1.7278308  2.0960603  1.6761989  1.4813493
## 115  2.0946312  2.0795265  1.9874263  3.0347732  2.3147123  2.4913992
## 116  1.2124030  0.8276094  1.0716362  2.3982613  2.2469501  2.2816860
## 117  1.3836039  1.6699226  1.7897895  3.1211174  2.4291548  2.3273738
## 118  1.4451638  1.8168923  2.1189002  2.4610067  2.5095128  2.1317162
## 119  3.1243002  3.1345403  2.5387835  2.1864346  2.6475213  2.5104323
## 120  2.0678741  2.3159665  2.4115417  1.4798801  1.6572959  1.8378685
## 121  3.6966701  3.8843958  3.6301699  3.0499255  2.3255869  2.7677553
## 122  1.7018339  2.0329203  2.3840647  1.7330245  2.3693533  1.8281432
## 123  1.7711795  2.3453590  2.5540393  2.7158328  2.6319179  2.2807001
## 124  1.6677561  1.3503172  0.7660430  2.6595979  2.5972901  2.3844933
## 125  3.3921025  3.5173879  3.0412469  2.0199328  2.3779332  2.1492666
## 126  2.6554133  2.8194371  2.3059166  2.1101872  2.4680015  2.1929900
## 127  3.0817365  3.5260098  3.4930638  1.8465760  2.3159010  2.1005467
## 128  1.4577146  1.4359218  1.5510771  2.8106402  2.9397056  2.4947921
## 129  3.6826638  3.6808430  3.1763231  2.8003528  2.7391872  2.9006432
## 130  3.2472757  3.5354683  3.1879181  2.3407547  2.2907193  2.2714861
## 131  1.4632399  1.7765028  1.9948628  2.9664677  2.4930726  2.0427057
## 132  3.5740014  3.7682853  3.3798796  3.1560938  3.0678944  3.2186887
## 133  2.5713341  2.6788967  2.2511112  1.8769589  2.2010705  1.8710885
## 134  3.8806893  3.9363849  3.8418701  2.6106030  3.0703814  3.3045520
## 135  3.3090579  3.4817163  3.0929434  2.5305536  2.5560868  2.6322985
## 136  2.5378382  2.8476273  2.5258458  2.5654456  2.4775086  2.2890503
## 137  2.8191249  2.9731883  2.6483043  2.1697706  1.7704974  2.1905528
## 138  2.7369190  3.1188175  3.0667179  1.6938544  2.0014411  1.6746347
## 139  2.5665494  3.0249911  2.7967921  1.9339947  1.5444963  1.5816917
## 140  2.2699136  2.9144084  3.0290361  1.9540912  2.4571459  1.9631554
## 141  3.6693134  3.8913999  3.6366533  2.1322903  2.4233780  2.4589025
## 142  3.0106910  2.8660914  2.3690022  2.9939044  2.5605678  2.9925198
## 143  2.7935262  3.1182876  2.8323145  2.4081330  1.9513102  2.2347848
## 144  2.1349342  2.3416164  2.6947618  1.9121299  2.3015601  2.1666106
## 145  1.3476526  1.9417250  2.2958072  2.9895114  2.8552188  2.2284290
## 146  2.4378161  2.6896390  2.6242100  2.3755694  2.5439219  2.6261512
## 147  1.5735088  2.2210593  2.3423910  2.0521659  2.1818544  1.3766473
## 148  2.1010287  2.6615140  2.5161943  1.3989738  1.8337037  0.9881159
## 149  1.4818395  1.8184898  2.2258839  2.0206118  2.3448055  2.1792953
## 150  2.4643284  2.5531722  2.5541976  2.0748954  1.7885915  2.1945262
## 151  1.6309670  2.1060107  2.0035977  2.0965519  2.4118577  1.5116078
## 152  2.3150031  2.3932962  1.9310645  2.0540957  1.8521416  1.7155342
## 153  2.5501440  2.5789617  2.4994852  2.5285414  1.8583980  2.3515922
## 154  1.8774431  2.4831337  2.5698286  2.4131676  2.6395673  1.9899925
## 155  1.5142196  1.9596770  2.3518928  3.2005012  2.8934265  2.5334301
## 156  1.4640341  2.0355628  2.4018145  2.9033513  3.2024759  2.2437663
## 157  2.3886188  2.9623435  2.9657455  1.7174763  2.2462889  1.8864543
##             67         68         69         70         71         72
## 2                                                                    
## 3                                                                    
## 4                                                                    
## 5                                                                    
## 6                                                                    
## 7                                                                    
## 8                                                                    
## 9                                                                    
## 10                                                                   
## 11                                                                   
## 12                                                                   
## 13                                                                   
## 14                                                                   
## 15                                                                   
## 16                                                                   
## 17                                                                   
## 18                                                                   
## 19                                                                   
## 20                                                                   
## 21                                                                   
## 22                                                                   
## 23                                                                   
## 24                                                                   
## 25                                                                   
## 26                                                                   
## 27                                                                   
## 28                                                                   
## 29                                                                   
## 30                                                                   
## 31                                                                   
## 32                                                                   
## 33                                                                   
## 34                                                                   
## 35                                                                   
## 36                                                                   
## 37                                                                   
## 38                                                                   
## 39                                                                   
## 40                                                                   
## 41                                                                   
## 42                                                                   
## 43                                                                   
## 44                                                                   
## 45                                                                   
## 46                                                                   
## 47                                                                   
## 48                                                                   
## 49                                                                   
## 50                                                                   
## 51                                                                   
## 52                                                                   
## 53                                                                   
## 54                                                                   
## 55                                                                   
## 56                                                                   
## 57                                                                   
## 58                                                                   
## 59                                                                   
## 60                                                                   
## 61                                                                   
## 62                                                                   
## 63                                                                   
## 64                                                                   
## 65                                                                   
## 66                                                                   
## 67                                                                   
## 68   2.4989288                                                       
## 69   1.4097615  2.6829776                                            
## 70   2.8778375  1.6959622  3.4065284                                 
## 71   2.0629333  1.1999589  2.2626929  2.3515869                      
## 72   2.2444350  3.1452701  2.5218798  3.2804100  2.8610597           
## 73   1.7557861  3.6889048  1.8081776  4.0891601  3.1084584  2.1129643
## 74   1.6050039  1.8721958  1.8441681  2.1269120  1.6542318  2.1106539
## 75   1.4631062  1.8575320  1.3309488  2.3534321  1.7755627  1.9647621
## 76   2.2333008  2.0851458  2.7933778  2.1753690  1.8515757  3.2774607
## 77   1.5292465  1.7114069  1.9152437  2.0861828  1.7129948  1.9290773
## 78   2.0918813  2.2041059  2.8202404  1.5645560  2.2268895  2.8473843
## 79   2.8067714  4.1166203  2.4592582  4.4369505  3.5826234  3.3508754
## 80   2.1626760  2.0652203  1.5833332  2.6858174  1.8544566  2.6157900
## 81   2.7602507  1.8708394  2.9568940  1.4134047  2.3753797  2.9933470
## 82   1.7351223  2.0328604  2.0891274  2.1472053  2.0833258  2.2694297
## 83   2.0626745  2.1816800  2.4238504  2.5632171  1.9142579  1.8266641
## 84   2.3774387  2.7709520  2.2013795  2.8872182  2.7919773  3.0756746
## 85   2.2684182  2.0822649  2.5341534  2.0106630  1.9955026  2.4118534
## 86   1.2722936  2.7260815  1.8831002  2.7763893  2.5157423  2.6994856
## 87   1.7419975  2.5312319  1.2102515  3.2183222  2.2681010  2.3928602
## 88   2.1582260  2.5970743  2.2359126  2.9404353  2.1384269  2.2817305
## 89   2.1194385  2.0970335  1.6756763  2.4712105  2.1747317  3.0922970
## 90   1.7864188  2.8824959  1.8939478  2.7058167  2.6795039  1.6959193
## 91   2.4146286  2.5762238  2.2850885  3.1895551  2.0941559  1.8898574
## 92   1.3592243  3.2489978  1.2271938  3.7975457  2.6236401  2.7965556
## 93   2.0350515  3.3699378  2.0181406  3.4493490  2.9517799  2.4309626
## 94   2.2579365  1.8531578  1.8993386  2.2935429  1.9362207  2.7201703
## 95   1.3843373  2.8359059  2.0623567  3.1599883  2.2128006  1.7883491
## 96   1.4157512  2.1730939  1.6870777  2.2776062  2.0662858  1.9200965
## 97   2.0321882  2.4096757  1.9763254  3.0653865  2.2995895  3.8082079
## 98   2.1768459  1.8009697  2.2099956  2.2861678  1.5884463  3.1494607
## 99   2.5079532  2.8883436  1.9184573  3.2089385  2.7440268  2.7129907
## 100  2.7221357  1.4720040  3.0554878  1.7057071  1.6205912  3.1322491
## 101  1.3863440  3.0704791  1.8416237  3.2615932  2.7011078  2.2908726
## 102  1.4984112  1.9629874  1.8966169  2.7067460  1.3164436  2.5103900
## 103  2.9354010  3.1067198  2.4970963  3.3764364  2.9160475  2.3636248
## 104  2.5130101  1.9453187  3.2034428  1.0463316  2.1922222  3.1557104
## 105  1.7458322  1.3154339  1.9761517  1.9831226  1.3614217  2.6864429
## 106  2.5548720  3.2961111  1.7308818  3.6587999  3.1305116  2.8575774
## 107  1.1364890  2.1006753  2.1276144  2.4260663  1.5495667  2.0829529
## 108  2.2683160  1.2370624  2.5867935  1.9068552  1.1631623  2.3516877
## 109  2.3656484  3.4541554  1.9643585  3.6213432  3.1439302  2.5942274
## 110  2.1708244  1.7463747  2.7472699  2.1785118  1.9648863  3.2793446
## 111  1.9441931  1.6874183  1.5668909  2.6185411  1.4108000  2.3759663
## 112  1.3965334  2.2367595  1.9903900  2.7081973  1.9721047  2.7121354
## 113  2.4840762  2.3804972  2.7893512  2.0608454  2.3863262  3.2005610
## 114  1.6482162  1.6069560  2.1532459  1.6133463  1.5184570  2.4731044
## 115  2.6838152  2.5615496  2.7493537  2.6294030  2.4274195  3.3463656
## 116  2.2787468  1.6786822  2.0864541  2.2302795  1.9021946  3.0690349
## 117  2.8112438  1.7867135  3.1516057  1.8039048  1.9818191  3.5907882
## 118  1.8340249  1.4460897  1.9002498  2.5351838  0.7672885  2.8053987
## 119  2.3042726  3.5011463  2.0439745  3.7059218  3.2194185  2.5191428
## 120  1.8371512  2.2016731  2.4108053  2.0881239  2.2229316  1.7883443
## 121  3.1721563  3.8363776  2.8570021  4.1162262  3.2617449  2.6784788
## 122  1.9923988  1.5434593  2.4342142  1.9465036  1.6288132  2.3219307
## 123  2.4524131  1.9153354  3.2541957  1.9536834  1.7765201  2.9448528
## 124  2.2385162  2.2278788  2.1396985  2.5029919  2.2802846  3.2854943
## 125  2.6216935  3.5975758  2.3043289  3.7498566  3.2648556  2.2192897
## 126  1.9011281  2.9936544  1.7635976  3.4372865  2.4929627  2.2874092
## 127  2.2545404  2.9731690  2.0099397  3.7174532  2.3427830  1.7511052
## 128  1.7304816  1.8865968  1.8662268  2.5974071  1.5345751  3.2925763
## 129  2.4420638  4.0214673  2.2926977  4.0749069  3.5728415  2.6366645
## 130  2.0146473  3.4143097  2.2173579  3.6321324  2.7567199  1.8641027
## 131  2.7351255  1.5748211  2.6770331  2.3212357  1.2724312  3.4155750
## 132  2.3260932  3.8883714  2.1211218  4.4060386  3.2563698  2.9866698
## 133  2.0376542  2.9058626  1.6800594  3.2171201  2.6200241  2.4438523
## 134  2.4560078  3.9492955  1.7420329  4.5975365  3.3492470  2.2674789
## 135  1.8179101  3.5650520  1.9347530  3.8493956  2.9024436  2.0816368
## 136  2.2717668  2.8428107  1.9009579  3.5986843  2.1307658  2.7344594
## 137  2.2729236  3.1305085  2.2409481  3.2697322  2.7862571  2.1403944
## 138  2.2959484  2.7221111  2.2555410  3.2110496  2.0890129  1.5688987
## 139  2.3060258  2.7065350  2.5581349  2.8619177  2.3392848  1.9542761
## 140  2.0694343  2.1264599  2.4021868  3.0051050  1.4299159  2.0302517
## 141  3.0404694  3.8010068  2.6418428  4.1143590  3.4340503  2.2249775
## 142  2.4032838  3.4174780  2.0051598  3.6702052  3.2195261  3.1826158
## 143  2.1198984  2.9848018  1.9961296  3.4783003  2.4565763  2.2986236
## 144  1.7208295  1.9811520  1.6793575  2.8068688  1.4703565  2.0478409
## 145  3.1544306  1.2199145  3.5193894  1.6357092  1.7004077  3.6352307
## 146  0.9224820  2.6371898  1.5941411  3.2057521  2.0264091  2.1956722
## 147  1.8739138  1.4712627  1.9874417  2.4504176  0.7751038  2.5277226
## 148  2.2536541  2.1711131  2.4694950  2.5452454  1.8441401  1.9234791
## 149  1.8690019  1.4879932  2.0826928  2.4069221  1.1968717  2.4107231
## 150  1.6042095  2.6415059  1.4617552  3.0008874  2.2838233  2.1351258
## 151  1.9633605  1.9778396  2.1887153  2.4415051  1.6878813  2.8188533
## 152  1.8687297  2.6363229  2.1150646  2.4297612  2.6240485  2.5057997
## 153  2.1936959  2.7492965  1.8072189  3.1318767  2.4948681  2.6887318
## 154  1.8880833  1.9434739  2.1941088  2.8657225  0.8794547  2.6194111
## 155  2.8847944  1.4667958  3.5539644  1.2654433  1.9561773  3.6581138
## 156  2.6586478  1.4479296  3.2351425  1.7534809  1.7541822  3.6544153
## 157  1.9431512  2.3772638  1.9048715  3.2769475  1.7867064  2.0336923
##             73         74         75         76         77         78
## 2                                                                    
## 3                                                                    
## 4                                                                    
## 5                                                                    
## 6                                                                    
## 7                                                                    
## 8                                                                    
## 9                                                                    
## 10                                                                   
## 11                                                                   
## 12                                                                   
## 13                                                                   
## 14                                                                   
## 15                                                                   
## 16                                                                   
## 17                                                                   
## 18                                                                   
## 19                                                                   
## 20                                                                   
## 21                                                                   
## 22                                                                   
## 23                                                                   
## 24                                                                   
## 25                                                                   
## 26                                                                   
## 27                                                                   
## 28                                                                   
## 29                                                                   
## 30                                                                   
## 31                                                                   
## 32                                                                   
## 33                                                                   
## 34                                                                   
## 35                                                                   
## 36                                                                   
## 37                                                                   
## 38                                                                   
## 39                                                                   
## 40                                                                   
## 41                                                                   
## 42                                                                   
## 43                                                                   
## 44                                                                   
## 45                                                                   
## 46                                                                   
## 47                                                                   
## 48                                                                   
## 49                                                                   
## 50                                                                   
## 51                                                                   
## 52                                                                   
## 53                                                                   
## 54                                                                   
## 55                                                                   
## 56                                                                   
## 57                                                                   
## 58                                                                   
## 59                                                                   
## 60                                                                   
## 61                                                                   
## 62                                                                   
## 63                                                                   
## 64                                                                   
## 65                                                                   
## 66                                                                   
## 67                                                                   
## 68                                                                   
## 69                                                                   
## 70                                                                   
## 71                                                                   
## 72                                                                   
## 73                                                                   
## 74   2.3120815                                                       
## 75   2.3324260  1.4011669                                            
## 76   3.1818554  1.7331045  2.3968693                                 
## 77   2.5963899  0.9578691  1.2431357  2.1521370                      
## 78   3.1076354  1.8496127  1.9983612  1.4670365  2.1115326           
## 79   2.0358982  2.9242172  3.1169768  3.2994081  3.4261444  3.4635266
## 80   2.5389396  1.1403998  1.4668516  2.2990730  1.6975821  2.4922758
## 81   3.6429967  2.2243368  1.8483683  2.3825228  2.3208304  1.4731405
## 82   2.5544038  1.0933300  1.5811919  1.6005727  1.1977997  1.7780414
## 83   2.5632578  1.7490962  1.8057034  2.6124296  1.6734811  2.3101923
## 84   2.5457435  1.8679436  2.2352428  2.6739402  2.4247944  2.5149343
## 85   2.9247301  1.8674026  1.5241377  2.0284717  2.1020656  1.2521285
## 86   1.9135097  1.7580470  1.8298562  1.9587775  2.1277407  1.6754729
## 87   1.8241253  1.8905709  1.3975135  2.8859331  2.1153790  2.6512466
## 88   2.1517210  1.4670067  2.1128988  1.8449680  2.0159093  2.2217889
## 89   2.8083910  1.5692426  1.5359440  2.0073704  1.9708770  2.1107228
## 90   1.8922664  1.4767780  1.5060701  2.4361443  1.7773717  1.9435653
## 91   2.4409008  2.0859662  1.9008183  2.5653358  2.1866538  2.6199417
## 92   1.4340115  1.9995664  2.1898746  2.7660392  2.2678780  3.0144587
## 93   1.5488641  2.1141212  2.2083056  2.6561841  2.6109307  2.4087822
## 94   2.7518256  1.4016231  1.4446033  1.9599252  1.8651813  1.9809328
## 95   1.9009691  2.0758055  1.8324160  2.8091724  1.9794956  2.4175123
## 96   2.0015158  0.7399685  1.2595578  1.8711411  1.1563697  1.7380568
## 97   3.0070502  2.3071614  2.2143366  2.4677161  2.5890135  2.6101252
## 98   2.9090075  1.6320708  1.8294758  1.9308276  2.2007580  1.8925919
## 99   2.3795848  2.1420977  1.8579910  3.0131854  2.5692321  2.6609940
## 100  3.8323219  1.6584080  2.3561412  2.2085244  1.6399072  2.4177296
## 101  1.6269267  2.1318995  1.9140519  2.3555897  2.2415855  2.1427895
## 102  2.4087737  1.8822414  1.4610499  2.1789711  1.9517809  1.9839785
## 103  2.7050625  1.9574765  2.4361983  3.2141344  2.3020180  3.2592219
## 104  3.6181861  2.0118773  2.2705939  1.7591746  2.2268390  0.8815834
## 105  2.9142972  1.5145916  1.1830022  2.2086896  1.5173876  1.9118440
## 106  2.2099359  2.3557922  2.0400433  3.4230826  2.7505226  3.1160160
## 107  2.3134711  1.5788186  1.6111120  1.8846899  1.4604884  1.7105211
## 108  3.2477834  1.8032936  1.5536488  2.0864267  1.6147430  1.9006875
## 109  1.7500653  2.0399719  2.3276043  3.1289302  2.6113531  2.9755158
## 110  3.5408504  2.3369904  1.9934251  2.5180651  2.1635982  2.1625262
## 111  2.5314612  1.0770152  1.2991853  2.1254139  1.3099301  2.4665877
## 112  2.4067713  1.6850395  1.8655935  2.5585029  1.7697725  2.4026795
## 113  3.3740856  1.6300628  2.3407864  1.4812849  2.0306413  1.8575961
## 114  2.6963322  0.9834078  1.4703135  1.4312429  1.3078331  1.1878816
## 115  3.0643510  1.9014647  2.5027492  2.4394145  2.5622081  2.3267502
## 116  3.0240596  1.5065220  1.6344870  2.3516829  1.9055568  2.2693025
## 117  3.6755369  1.8502133  2.5954911  1.7542246  2.3617160  1.9337728
## 118  2.8500039  1.4176040  1.5998885  1.9114244  1.5168389  2.3537768
## 119  1.7999338  2.5408241  2.1246614  3.0391886  2.8924944  2.6776592
## 120  2.5460888  1.7150292  1.5072875  2.6377477  1.6486859  1.7953776
## 121  2.4651142  2.5992079  3.0127360  3.3815826  3.0958267  3.4852648
## 122  3.1879350  1.9297961  1.3045303  2.4927595  1.5287416  1.9774817
## 123  3.4283089  2.1279415  2.4428845  2.1673948  2.2583773  1.7962390
## 124  2.9100665  1.7274456  1.8935112  1.9302870  2.2576716  2.0230467
## 125  2.1233310  2.6634353  2.1986523  3.1870966  2.9033301  2.8120247
## 126  1.5446097  2.0320752  1.8483844  2.4523751  2.4620213  2.4065795
## 127  2.1626843  2.3633410  1.9594084  3.1318659  2.2573749  3.1468051
## 128  2.8485166  1.7224193  1.7666050  1.8905040  2.0177404  2.1394221
## 129  1.5602531  2.6990904  2.6481035  3.2804574  3.1175280  2.9928624
## 130  1.4705292  2.1408225  2.2811697  2.6094414  2.4612969  2.5827259
## 131  3.5537269  1.7183751  2.2520623  1.7532389  2.1548253  2.3498882
## 132  1.3250545  2.6843154  2.8638214  3.2161578  3.1217043  3.4073655
## 133  1.9627031  2.1616336  1.6653272  2.6741951  2.4839567  2.3165607
## 134  1.6752611  2.8781987  2.4295090  4.0163960  2.8835273  3.9396307
## 135  0.8484119  2.1767138  2.2805304  2.8042429  2.5527571  2.7547906
## 136  1.9509746  2.0147001  2.2181503  2.4418686  2.5916116  2.8024865
## 137  1.8066286  1.9403310  2.1306300  2.8637298  2.4320027  2.5177532
## 138  2.3057106  2.0683814  1.7647217  2.8683102  2.1548979  2.6341941
## 139  2.2869831  1.8962723  2.1287851  2.3867444  2.2299541  2.1576956
## 140  2.6552259  2.0143782  1.8259795  2.5410723  1.8702310  2.5906162
## 141  2.4004196  2.9927652  2.5043101  3.8988910  3.1463075  3.4327389
## 142  2.0827189  2.1552946  2.5411469  2.7750140  2.7374415  2.9602156
## 143  1.6822572  1.7943826  2.2305612  2.4869013  2.2689666  2.7339990
## 144  2.5615649  1.6598420  1.2313306  2.7379896  1.3567860  2.6671731
## 145  4.2766395  2.3640016  2.6162163  2.0126217  2.4357416  2.1913190
## 146  1.4708128  1.6046462  1.8347602  2.3103002  1.7730650  2.4526049
## 147  2.7918159  1.5671750  1.4842770  1.7466898  1.5743203  2.0740334
## 148  2.6276611  1.9715124  1.6303329  2.3286758  2.0913103  1.9175555
## 149  2.8234842  1.5596316  1.4175023  2.4638877  1.4758564  2.3791230
## 150  1.8277334  1.5224160  1.6022905  2.6841409  1.7437352  2.5039712
## 151  2.7448314  2.0450628  1.6425958  2.1202093  2.2538017  1.6981745
## 152  2.3554191  1.7290991  1.7348498  1.9617957  2.0390245  1.4954616
## 153  2.2760757  1.6581196  2.0415161  2.6733905  2.0752585  2.7505769
## 154  2.6341144  1.8448245  1.8976288  1.9664926  2.0204492  2.2924143
## 155  4.1913642  2.2303665  2.7142357  1.8082081  2.2433434  1.9149685
## 156  4.0969677  2.5816172  2.3511726  2.1215839  2.4275240  1.8732200
## 157  2.1657806  2.1071258  1.7263335  2.7420374  2.0898370  2.7266865
##             79         80         81         82         83         84
## 2                                                                    
## 3                                                                    
## 4                                                                    
## 5                                                                    
## 6                                                                    
## 7                                                                    
## 8                                                                    
## 9                                                                    
## 10                                                                   
## 11                                                                   
## 12                                                                   
## 13                                                                   
## 14                                                                   
## 15                                                                   
## 16                                                                   
## 17                                                                   
## 18                                                                   
## 19                                                                   
## 20                                                                   
## 21                                                                   
## 22                                                                   
## 23                                                                   
## 24                                                                   
## 25                                                                   
## 26                                                                   
## 27                                                                   
## 28                                                                   
## 29                                                                   
## 30                                                                   
## 31                                                                   
## 32                                                                   
## 33                                                                   
## 34                                                                   
## 35                                                                   
## 36                                                                   
## 37                                                                   
## 38                                                                   
## 39                                                                   
## 40                                                                   
## 41                                                                   
## 42                                                                   
## 43                                                                   
## 44                                                                   
## 45                                                                   
## 46                                                                   
## 47                                                                   
## 48                                                                   
## 49                                                                   
## 50                                                                   
## 51                                                                   
## 52                                                                   
## 53                                                                   
## 54                                                                   
## 55                                                                   
## 56                                                                   
## 57                                                                   
## 58                                                                   
## 59                                                                   
## 60                                                                   
## 61                                                                   
## 62                                                                   
## 63                                                                   
## 64                                                                   
## 65                                                                   
## 66                                                                   
## 67                                                                   
## 68                                                                   
## 69                                                                   
## 70                                                                   
## 71                                                                   
## 72                                                                   
## 73                                                                   
## 74                                                                   
## 75                                                                   
## 76                                                                   
## 77                                                                   
## 78                                                                   
## 79                                                                   
## 80   2.8855024                                                       
## 81   3.8859095  2.3907640                                            
## 82   3.1393851  1.7283507  2.2149195                                 
## 83   3.0777762  2.3234872  2.3991937  2.2610835                      
## 84   2.3039520  1.8382776  2.5171273  2.2948058  2.4379577           
## 85   3.3895221  2.1183165  1.2075519  2.0098922  2.0100376  2.6060113
## 86   2.5256536  2.1774471  2.4246764  1.6876633  2.5200419  1.8611007
## 87   2.3690750  1.6746904  2.5419123  2.3059993  1.9466137  1.6403821
## 88   2.0903166  1.8565787  2.6857383  1.6996592  1.7694748  2.1050569
## 89   2.8319899  1.1694318  2.0345260  1.5786265  2.6938212  1.7284202
## 90   2.4565574  1.8662092  2.2887688  1.5286300  2.0746995  2.0332622
## 91   2.7056307  2.1997202  2.6234434  2.1524331  1.7159396  2.8444733
## 92   2.0870075  2.1344218  3.6074034  2.3498752  2.6577552  2.2866583
## 93   1.2813005  2.2958398  2.8514460  2.3161249  2.2895577  1.7373805
## 94   2.7530647  1.0956121  1.7168506  1.5354286  2.1540027  1.6622562
## 95   2.8601510  2.6346404  2.9066731  2.4916186  1.4228532  2.7632271
## 96   2.6924722  1.3857888  2.1314807  0.8009101  1.8966137  1.7432482
## 97   3.3208894  2.1379065  2.8190303  2.5242504  3.1710894  2.1740007
## 98   3.1719559  1.5080828  1.9277190  2.1803133  2.3656688  1.8325397
## 99   2.1545609  1.7888658  2.3550829  2.5874781  2.1804542  1.4645501
## 100  4.2694316  2.1689703  2.5129931  2.1999373  2.2629284  2.9517035
## 101  2.0360578  2.5647201  2.7797627  1.9380998  2.2252853  2.3661078
## 102  3.1405756  2.1347266  2.2808302  2.2800345  1.7223617  2.6164568
## 103  2.5504223  1.9148110  3.1449388  2.4831423  2.0982601  2.1004779
## 104  3.9711427  2.6201927  1.3673726  2.1465877  2.4263978  2.6267871
## 105  3.7075608  1.6535421  1.8198768  1.9168913  2.1120259  2.3578974
## 106  2.1705457  1.8805924  2.8844625  2.7893597  2.6355410  1.5740655
## 107  3.1663297  2.3400773  2.4249688  1.8276392  1.5349900  2.7018335
## 108  3.8390057  2.1699378  1.7432219  1.9607246  1.6296594  2.9895512
## 109  1.6633817  1.9383758  3.1397853  2.5224338  2.5311243  1.2855878
## 110  4.4974739  2.6331642  2.2388802  2.3807814  2.8783056  3.1733554
## 111  3.1141486  0.7998651  2.4412337  1.4590351  2.0706589  2.2714138
## 112  3.3178828  2.1158922  2.7541441  2.2710272  2.1376447  2.0866754
## 113  3.6437888  2.0250377  2.4209475  1.3489073  3.0859536  2.6874847
## 114  3.0318694  1.7070065  1.6959178  1.4382366  1.5366877  1.9154294
## 115  2.9188226  2.0309823  2.4742432  2.7021647  2.2306560  1.5195714
## 116  3.4784043  1.1881736  1.9761004  2.0276570  2.4870159  1.7475437
## 117  3.7110681  2.2185889  2.1396757  2.3560119  2.4151750  2.1840977
## 118  3.5149901  1.4951472  2.5588345  1.8959428  2.2010325  2.6857019
## 119  2.2306525  2.4366712  2.8220847  2.3885573  2.9356476  2.3678631
## 120  3.3375656  2.3223411  1.8088056  2.0703069  1.2580298  2.1808922
## 121  1.9191010  2.6266893  3.7008593  3.1430928  2.3941456  2.6770891
## 122  4.1245586  2.2947410  1.8141853  2.0571429  2.0527596  3.0678426
## 123  4.0684230  2.8011241  2.1978996  2.5795441  1.9340171  2.9241636
## 124  3.2962099  1.5018079  2.1635910  1.7032383  3.0434115  2.0505960
## 125  2.2043940  2.6137735  2.8492009  2.5533762  2.6770199  2.7515414
## 126  2.1979487  1.9835574  2.7223423  2.0419721  2.5293119  2.3205458
## 127  2.7706103  2.4547472  3.2258889  2.5430602  1.8403170  3.1607248
## 128  3.4241996  1.6980862  2.4891659  2.0712489  2.7250514  2.4215368
## 129  1.2441085  2.7976914  3.4113006  2.8279481  2.8327664  2.2984912
## 130  1.9463324  2.5246594  3.2031564  2.2442958  2.1531045  2.7375126
## 131  3.6539638  1.6375337  2.4114842  2.2668896  2.4883970  2.6919621
## 132  1.0566084  2.7507826  3.9201838  2.9886171  2.7513576  2.3766610
## 133  1.8954782  2.0386795  2.3098867  2.2298467  2.2332904  1.8663585
## 134  2.6451675  2.6968329  4.0536397  3.1540126  2.9128145  3.2317564
## 135  1.6947936  2.4611341  3.3809681  2.4315336  2.3469641  2.5212995
## 136  1.9039301  1.7917989  3.0467492  2.4134986  2.2859365  2.1613505
## 137  1.9580266  2.1513165  2.7106389  2.4954877  1.7027109  1.6903995
## 138  2.9832329  2.2161154  2.6699898  2.4978723  1.5593471  2.9694825
## 139  2.3551149  2.3548436  2.4176503  2.1852768  1.2401837  2.2163036
## 140  3.7009064  2.3639626  2.7993119  2.3286450  1.7485309  3.3342160
## 141  2.5743166  2.9242829  3.2506509  3.3427815  2.2631602  2.9661441
## 142  1.6948946  2.0312635  3.2709503  2.2265902  3.0288174  1.4128353
## 143  1.5683149  2.0058328  3.1066496  2.1982092  1.7952492  1.9533529
## 144  3.5152681  1.7686339  2.6571536  2.1609178  1.8648013  2.8346979
## 145  4.6945481  2.6383850  2.0493309  2.4286146  2.8533531  3.3955605
## 146  2.6304607  2.0899925  3.0822978  1.8634174  2.0991819  2.3328329
## 147  3.1970397  1.7866229  2.2530547  1.8281326  1.6886137  2.7242244
## 148  3.1342729  2.2462176  1.8501899  2.1379677  1.4665347  2.7091964
## 149  3.8268507  1.7405113  2.3497631  2.0820810  1.9729364  2.6987977
## 150  2.0903778  1.7599264  2.7011102  2.1275402  1.4777930  1.5699395
## 151  2.9186078  2.2058656  1.7449726  2.3723148  1.7457031  2.2254828
## 152  2.3611679  2.1217392  1.9290441  1.4978889  2.2043336  1.7698595
## 153  1.9527632  1.6634658  2.8594207  2.2663253  1.9130794  1.3498767
## 154  3.2605577  2.0849364  2.6756917  2.2310653  1.9462541  2.9154018
## 155  4.6443040  2.8372407  2.2089469  2.3027478  2.7935722  3.2309350
## 156  4.5969842  2.9554047  1.9570655  2.5962430  2.7638199  3.4705452
## 157  2.7280602  2.2389140  2.7575299  2.3849720  1.4148628  2.6466323
##             85         86         87         88         89         90
## 2                                                                    
## 3                                                                    
## 4                                                                    
## 5                                                                    
## 6                                                                    
## 7                                                                    
## 8                                                                    
## 9                                                                    
## 10                                                                   
## 11                                                                   
## 12                                                                   
## 13                                                                   
## 14                                                                   
## 15                                                                   
## 16                                                                   
## 17                                                                   
## 18                                                                   
## 19                                                                   
## 20                                                                   
## 21                                                                   
## 22                                                                   
## 23                                                                   
## 24                                                                   
## 25                                                                   
## 26                                                                   
## 27                                                                   
## 28                                                                   
## 29                                                                   
## 30                                                                   
## 31                                                                   
## 32                                                                   
## 33                                                                   
## 34                                                                   
## 35                                                                   
## 36                                                                   
## 37                                                                   
## 38                                                                   
## 39                                                                   
## 40                                                                   
## 41                                                                   
## 42                                                                   
## 43                                                                   
## 44                                                                   
## 45                                                                   
## 46                                                                   
## 47                                                                   
## 48                                                                   
## 49                                                                   
## 50                                                                   
## 51                                                                   
## 52                                                                   
## 53                                                                   
## 54                                                                   
## 55                                                                   
## 56                                                                   
## 57                                                                   
## 58                                                                   
## 59                                                                   
## 60                                                                   
## 61                                                                   
## 62                                                                   
## 63                                                                   
## 64                                                                   
## 65                                                                   
## 66                                                                   
## 67                                                                   
## 68                                                                   
## 69                                                                   
## 70                                                                   
## 71                                                                   
## 72                                                                   
## 73                                                                   
## 74                                                                   
## 75                                                                   
## 76                                                                   
## 77                                                                   
## 78                                                                   
## 79                                                                   
## 80                                                                   
## 81                                                                   
## 82                                                                   
## 83                                                                   
## 84                                                                   
## 85                                                                   
## 86   2.0612925                                                       
## 87   2.2301358  1.8217107                                            
## 88   2.0940344  2.0697902  2.0879003                                 
## 89   2.0318804  1.7633272  1.8500948  2.0880361                      
## 90   1.8176293  1.6409575  1.9164210  1.6706549  1.8829915           
## 91   1.9758887  2.6476922  2.1239471  1.4283087  2.5095937  1.9929316
## 92   3.0674357  1.8227744  1.8197621  2.2010896  2.2849971  2.1554764
## 93   2.3391374  1.6157126  1.7205913  1.5728177  2.2248320  1.3857524
## 94   1.6525976  1.9548921  1.6784260  1.5992538  0.8843736  1.7326880
## 95   2.2426961  2.1559453  1.9315995  2.1995243  2.8964838  2.0125974
## 96   1.8147743  1.3274346  1.7112557  1.4763917  1.4535399  1.0070366
## 97   2.7887800  1.8256412  2.0467806  2.9781552  1.7215759  2.9152017
## 98   1.7666960  1.8812174  1.8427072  2.2249436  1.5729097  2.3777497
## 99   2.1305207  2.2311425  1.2214640  2.0195747  1.8368426  1.8278672
## 100  2.5299026  3.0861536  3.0752682  2.6313129  2.5564322  2.8943219
## 101  2.2308574  1.3182175  1.9032136  1.7993165  2.2593785  1.5334417
## 102  1.6026299  1.9202923  1.6783536  2.1679168  2.2553633  2.3075032
## 103  2.9179459  3.0497446  2.2865020  1.7736914  2.5177266  2.0216252
## 104  1.5569616  2.2053175  2.9228891  2.6398708  2.3740035  2.4662881
## 105  1.7137019  1.9916530  1.8423795  2.5482306  1.7762415  2.3005275
## 106  2.6622675  2.3299653  1.2343620  2.4215256  1.9801728  1.9694588
## 107  1.7986364  1.7991670  2.1538828  1.9676101  2.4451451  1.9983180
## 108  1.4074415  2.6199553  2.4245996  2.2059383  2.3660767  2.3982549
## 109  2.8209380  2.0680276  1.6215705  1.9813474  2.1896179  1.6738883
## 110  2.2756004  2.3688509  2.7068248  3.3365825  2.5192583  3.0175861
## 111  2.0892996  2.2399256  1.7694586  1.7596936  1.4717513  1.9992423
## 112  2.5533383  1.8146259  1.7988477  2.6093781  2.3426164  2.4405728
## 113  2.3361692  2.2124302  3.1012024  2.3438202  1.7900623  2.1874502
## 114  1.4492123  1.6773355  1.9972984  1.6313108  1.6599074  1.7092041
## 115  2.3373451  2.3722167  2.1917747  2.1672633  2.2085815  2.5078631
## 116  2.0769586  2.0965074  1.7993726  2.4877423  1.3531525  2.3572171
## 117  2.2481889  2.5298072  2.7728219  2.3407942  2.2193696  2.8640534
## 118  2.1236667  2.3144716  2.1369036  2.2045773  1.9033712  2.5305679
## 119  2.3530075  1.7579179  1.8426293  2.2946003  2.2354322  1.6629569
## 120  1.6774779  2.0095348  1.8541743  2.2616646  2.4720018  1.7427978
## 121  3.0725894  3.2149407  2.6183731  1.7121940  3.1374228  2.3598587
## 122  1.6226289  2.4585629  2.3949570  2.7900785  2.4104518  2.3879630
## 123  1.9619244  2.5577952  2.8083943  2.6367736  2.9854016  2.8923636
## 124  2.0897991  1.6362960  2.1762407  2.4154715  1.0483737  2.2005035
## 125  2.2654193  2.3982323  2.1823518  2.1021144  2.5410373  1.5758470
## 126  2.0224781  1.5678599  1.6518201  1.7752705  2.0335466  1.6689212
## 127  2.5306155  2.8735352  2.0826849  1.9676360  2.8795794  2.2145416
## 128  2.1791825  1.8032838  2.0833716  2.5540228  1.6079459  2.5680398
## 129  2.8534400  2.0929274  2.1458658  2.1406824  2.7258074  1.7036336
## 130  2.3680212  2.1216059  2.2503609  1.3939495  2.7319925  1.5487386
## 131  2.1348339  2.8032498  2.6878240  2.1830236  1.9507994  2.8264580
## 132  3.2900910  2.2764670  1.9876056  2.0059954  2.8890417  2.4406811
## 133  1.9094150  1.7081483  1.2851663  1.8260976  1.8128430  1.5111020
## 134  3.4241068  3.0299434  2.1145943  2.8424458  3.1592673  2.4473905
## 135  2.5511619  1.8811190  1.9714273  1.6999268  2.6699934  1.6311402
## 136  2.4083967  2.1883100  1.6364762  1.3962896  2.1660095  2.2413575
## 137  2.1836156  2.0882304  1.5694085  1.5598557  2.4420353  1.5839351
## 138  1.8159539  2.7151835  2.0672955  1.8909321  2.7496025  1.9661703
## 139  1.8845334  2.2626598  2.0300718  1.1136887  2.5727918  1.7303943
## 140  2.0258808  2.7145042  2.3492693  2.2433316  2.8636814  2.5713343
## 141  2.6523439  3.1523794  2.1405648  2.4838244  3.2216822  2.2566384
## 142  3.0594767  1.8326622  1.9682156  1.9888328  1.8261846  1.9831389
## 143  2.5154001  2.1470111  1.7321685  0.8715473  2.3289139  1.8371392
## 144  2.2002149  2.5406243  1.9201548  2.4439613  2.3276844  2.2562633
## 145  2.2120011  3.1505271  3.3641760  2.9872244  2.6663142  3.3363110
## 146  2.5323619  1.5083126  1.7247586  1.9487184  2.3378670  2.0018589
## 147  1.6887804  2.3182700  2.0737006  1.7305701  1.9777446  2.2843357
## 148  1.1232038  2.3307388  2.0275909  1.7691454  2.4384089  1.9441621
## 149  2.0307670  2.3825638  1.9752182  2.5283730  2.2580966  2.4879248
## 150  2.3500301  1.9463424  1.2272221  1.6752582  2.0310274  1.5573532
## 151  1.3404080  1.9088905  1.6834275  2.0805746  2.0407549  2.2493973
## 152  1.7326613  1.2835298  1.9787283  1.6492380  1.5768031  1.1448121
## 153  2.6124359  2.2515977  1.5985985  1.5977867  1.8969212  1.8811593
## 154  1.9802548  2.3392862  2.1772358  1.9840580  2.4442468  2.5671095
## 155  2.4233590  2.8908080  3.4413536  3.0207734  2.7415060  3.2567159
## 156  2.0438067  2.8140539  3.1667435  3.2227893  2.6913343  3.2763487
## 157  2.2042728  2.4358765  1.5445981  1.8342948  2.5788877  2.2878533
##             91         92         93         94         95         96
## 2                                                                    
## 3                                                                    
## 4                                                                    
## 5                                                                    
## 6                                                                    
## 7                                                                    
## 8                                                                    
## 9                                                                    
## 10                                                                   
## 11                                                                   
## 12                                                                   
## 13                                                                   
## 14                                                                   
## 15                                                                   
## 16                                                                   
## 17                                                                   
## 18                                                                   
## 19                                                                   
## 20                                                                   
## 21                                                                   
## 22                                                                   
## 23                                                                   
## 24                                                                   
## 25                                                                   
## 26                                                                   
## 27                                                                   
## 28                                                                   
## 29                                                                   
## 30                                                                   
## 31                                                                   
## 32                                                                   
## 33                                                                   
## 34                                                                   
## 35                                                                   
## 36                                                                   
## 37                                                                   
## 38                                                                   
## 39                                                                   
## 40                                                                   
## 41                                                                   
## 42                                                                   
## 43                                                                   
## 44                                                                   
## 45                                                                   
## 46                                                                   
## 47                                                                   
## 48                                                                   
## 49                                                                   
## 50                                                                   
## 51                                                                   
## 52                                                                   
## 53                                                                   
## 54                                                                   
## 55                                                                   
## 56                                                                   
## 57                                                                   
## 58                                                                   
## 59                                                                   
## 60                                                                   
## 61                                                                   
## 62                                                                   
## 63                                                                   
## 64                                                                   
## 65                                                                   
## 66                                                                   
## 67                                                                   
## 68                                                                   
## 69                                                                   
## 70                                                                   
## 71                                                                   
## 72                                                                   
## 73                                                                   
## 74                                                                   
## 75                                                                   
## 76                                                                   
## 77                                                                   
## 78                                                                   
## 79                                                                   
## 80                                                                   
## 81                                                                   
## 82                                                                   
## 83                                                                   
## 84                                                                   
## 85                                                                   
## 86                                                                   
## 87                                                                   
## 88                                                                   
## 89                                                                   
## 90                                                                   
## 91                                                                   
## 92   2.7295664                                                       
## 93   2.1177809  1.9030912                                            
## 94   1.9407884  2.5190581  2.0490977                                 
## 95   2.0475861  2.0553843  2.0616280  2.6857048                      
## 96   2.0153440  1.9169197  1.7500807  1.3395126  2.0448175           
## 97   3.3926662  2.2075725  2.8345465  2.2108253  2.9779063  2.3042798
## 98   2.5968472  2.5305025  2.4222691  1.4965938  2.5535737  1.8469041
## 99   2.2192305  2.4582285  1.5495005  1.4976108  2.4932355  1.9939553
## 100  2.9635996  3.2872478  3.5455417  2.3574034  2.9259557  2.2623948
## 101  2.0326369  1.8268516  1.2822606  2.2241811  1.7271427  1.6678747
## 102  2.0242602  2.2556745  2.3632301  2.0703700  1.4487322  1.9810291
## 103  2.1595466  2.7016608  2.2159798  2.0631226  2.7860644  2.0657062
## 104  2.9877112  3.4316019  2.9454996  2.2228468  2.7359430  2.1109270
## 105  2.5737453  2.5527289  2.8115301  1.7665720  2.2212551  1.6938227
## 106  2.6632055  2.2595418  1.7262908  1.8944192  2.7247035  2.1452052
## 107  2.0325202  2.1638026  2.3107558  2.3045608  1.1182418  1.6588736
## 108  1.7687930  3.1477279  2.9641362  1.9308523  2.1544768  2.0073064
## 109  2.6039544  1.8848554  1.2017919  2.0950158  2.5192344  1.8312093
## 110  3.2949383  3.2105937  3.5551703  2.6306523  2.7822884  2.3892169
## 111  1.8738949  2.1531886  2.5113424  1.2760862  2.4207164  1.3486320
## 112  2.9490455  1.9459940  2.5703043  2.4256655  1.8784503  1.8344700
## 113  2.9341500  2.9181241  2.8964181  1.9968638  3.2270586  1.6920049
## 114  2.1826709  2.3532750  2.1422900  1.4280920  1.9563722  1.2126624
## 115  2.9916378  2.7547538  2.3387669  1.9511151  2.7601320  2.2067451
## 116  2.8332126  2.6171015  2.7255017  1.4014769  2.8460300  1.7128610
## 117  3.0908189  3.2504311  3.0240237  1.9548748  3.1112762  2.2424476
## 118  2.3029299  2.2684108  2.9089678  1.8895682  2.2983754  1.8524866
## 119  2.2655479  2.4134961  1.4235266  2.1626886  2.5996686  1.9782663
## 120  2.2494369  2.7426207  2.2231667  2.1172026  1.5555012  1.6049682
## 121  2.1338998  2.7464820  1.9248789  2.6816466  2.6944273  2.6736619
## 122  2.4010965  3.0661473  3.1336443  2.2723113  2.1042582  2.0162125
## 123  2.8261607  3.3465990  3.1365626  2.6551552  2.2714687  2.4124854
## 124  2.8987959  2.5461722  2.5504995  1.4222300  3.1265719  1.6085715
## 125  1.7280451  2.7530696  1.5053460  2.2632572  2.4958969  2.2134960
## 126  1.7724564  2.0120593  1.4487284  1.9044938  2.1733693  1.6717130
## 127  1.0201892  2.4367067  2.3260187  2.4913733  1.7370080  2.3024180
## 128  2.8901089  2.1476698  2.7844855  1.9424755  2.5592493  1.9255888
## 129  2.5050183  2.1438806  0.7509468  2.6340163  2.4131379  2.2844895
## 130  1.5459832  2.0578359  1.3200433  2.4486521  1.7478675  1.8943724
## 131  2.5704160  2.9933436  3.1287000  1.7477492  3.0170480  2.2655079
## 132  2.5721358  1.5753696  1.4105607  2.7797474  2.3849517  2.4881071
## 133  1.7733106  2.1873913  1.0790679  1.5929351  2.1205442  1.7662908
## 134  2.4719468  2.0289035  2.4330032  3.1065757  2.3222677  2.6884436
## 135  2.0410459  1.5961201  1.1498968  2.5406690  1.7278838  1.9290541
## 136  1.6746401  1.9608467  1.6684990  1.8366515  2.3009763  2.0255579
## 137  2.0656469  2.2725341  1.1524401  2.0101486  1.9503780  1.8215490
## 138  1.1128378  2.6766181  2.2389056  2.2810174  1.5697696  2.1392932
## 139  1.3161731  2.6570643  1.5441882  1.9527035  1.8004450  1.8092660
## 140  1.7158966  2.7629488  2.9578513  2.4982116  1.7687150  2.2191652
## 141  2.0290351  3.0871451  2.0659632  2.7493124  2.3610782  2.8061810
## 142  2.8556251  1.8632067  1.5362056  1.9499839  3.0637091  1.8148505
## 143  1.6606905  1.8297813  1.3091358  1.9366509  2.0329030  1.7562108
## 144  2.0694746  2.2583640  2.8029719  2.2337906  1.7174822  1.9111575
## 145  3.0363955  3.9485745  3.8699362  2.4014804  3.4389175  2.6842760
## 146  2.2580011  1.2672553  1.9850581  2.3381778  1.5243154  1.5008566
## 147  1.5633648  2.4386884  2.5780006  1.6772491  1.9779882  1.8342557
## 148  1.1284736  2.9571642  2.1975501  1.8530056  1.8186814  1.9152688
## 149  2.3945721  2.5723282  2.9950631  2.0999792  2.0919301  1.8643457
## 150  2.0783173  1.5685353  1.4825752  1.8420764  1.5662995  1.5053078
## 151  2.0555773  2.6121042  2.1176117  1.7442225  1.8671658  2.0546968
## 152  2.1928232  2.3570346  1.3949382  1.4712800  2.3218873  1.2445576
## 153  2.3097635  1.8702625  1.6769677  1.6984647  2.3207777  1.7500592
## 154  1.8171399  2.3889002  2.6397235  2.1903173  1.8403162  2.1068616
## 155  3.3749268  3.7616210  3.7964103  2.6224743  3.2933237  2.5535245
## 156  3.1713741  3.6878814  3.7343832  2.6284130  2.9758254  2.7595500
## 157  1.1698743  2.3119340  2.1627842  2.1401068  1.4839130  2.0826136
##             97         98         99        100        101        102
## 2                                                                    
## 3                                                                    
## 4                                                                    
## 5                                                                    
## 6                                                                    
## 7                                                                    
## 8                                                                    
## 9                                                                    
## 10                                                                   
## 11                                                                   
## 12                                                                   
## 13                                                                   
## 14                                                                   
## 15                                                                   
## 16                                                                   
## 17                                                                   
## 18                                                                   
## 19                                                                   
## 20                                                                   
## 21                                                                   
## 22                                                                   
## 23                                                                   
## 24                                                                   
## 25                                                                   
## 26                                                                   
## 27                                                                   
## 28                                                                   
## 29                                                                   
## 30                                                                   
## 31                                                                   
## 32                                                                   
## 33                                                                   
## 34                                                                   
## 35                                                                   
## 36                                                                   
## 37                                                                   
## 38                                                                   
## 39                                                                   
## 40                                                                   
## 41                                                                   
## 42                                                                   
## 43                                                                   
## 44                                                                   
## 45                                                                   
## 46                                                                   
## 47                                                                   
## 48                                                                   
## 49                                                                   
## 50                                                                   
## 51                                                                   
## 52                                                                   
## 53                                                                   
## 54                                                                   
## 55                                                                   
## 56                                                                   
## 57                                                                   
## 58                                                                   
## 59                                                                   
## 60                                                                   
## 61                                                                   
## 62                                                                   
## 63                                                                   
## 64                                                                   
## 65                                                                   
## 66                                                                   
## 67                                                                   
## 68                                                                   
## 69                                                                   
## 70                                                                   
## 71                                                                   
## 72                                                                   
## 73                                                                   
## 74                                                                   
## 75                                                                   
## 76                                                                   
## 77                                                                   
## 78                                                                   
## 79                                                                   
## 80                                                                   
## 81                                                                   
## 82                                                                   
## 83                                                                   
## 84                                                                   
## 85                                                                   
## 86                                                                   
## 87                                                                   
## 88                                                                   
## 89                                                                   
## 90                                                                   
## 91                                                                   
## 92                                                                   
## 93                                                                   
## 94                                                                   
## 95                                                                   
## 96                                                                   
## 97                                                                   
## 98   1.5558003                                                       
## 99   2.6460920  2.0499829                                            
## 100  3.0019081  2.2077946  3.2649273                                 
## 101  2.6898331  2.6276045  2.2223133  3.4571462                      
## 102  2.1314955  1.6178241  2.2918432  2.5268894  2.0055996           
## 103  3.6067268  2.8655082  1.9219987  2.8542925  2.8247561  3.0810511
## 104  2.7041531  1.8099485  2.9353330  2.0631474  2.8042932  2.2070686
## 105  1.7465986  1.2375890  2.4135500  1.8887759  2.5909127  1.3556808
## 106  2.6475395  2.3897831  0.7882805  3.6138929  2.4012448  2.6452772
## 107  2.5421417  2.0847178  2.6967630  2.2453026  1.7309560  1.1230621
## 108  2.9183412  2.0145068  2.7138879  1.8174195  2.6162227  1.5150245
## 109  2.7994819  2.4273214  1.4151453  3.4583985  2.1705898  2.7804032
## 110  2.0796526  1.9810877  3.3840155  2.4310399  3.0776220  1.9275399
## 111  2.2606636  1.7345782  2.1839658  1.9587878  2.4473184  1.8784138
## 112  1.7547604  1.7175753  2.5974078  2.3566632  2.4380543  1.6923178
## 113  2.6691590  2.1977639  3.1521952  2.1636057  2.7844595  2.8396323
## 114  2.2198059  1.4568866  2.1110936  1.6369983  2.0210207  1.5606814
## 115  2.4810935  1.5618756  1.8792539  2.4382662  2.8986815  2.3545886
## 116  1.6336681  1.0180959  2.0560220  2.0891805  2.8735370  2.0620638
## 117  2.4742886  1.5074660  2.7234071  1.7259068  3.1798989  2.4073493
## 118  1.9962794  1.5467204  2.7003259  1.7209512  2.6529473  1.4403918
## 119  2.8751529  2.6331583  1.9530223  4.0172621  1.6339535  2.5626045
## 120  2.8251695  2.0871935  2.1595061  2.4085806  2.1405141  1.7617934
## 121  4.0111641  3.2024402  2.1524043  3.6302089  2.7232445  3.1057175
## 122  2.6786425  2.1010859  2.8923448  2.0755090  2.6709703  1.5696880
## 123  2.8940941  1.9107805  3.1391646  2.0010337  2.9814697  1.7711469
## 124  1.5797627  1.3747524  2.3857105  2.6853908  2.5749840  2.3235992
## 125  3.5400135  3.0291917  1.9367553  3.9965165  1.7164727  2.6956641
## 126  2.5276418  2.1130841  1.9930116  3.4543853  1.5288912  1.9416723
## 127  3.5194088  3.0058867  2.4655072  3.2716056  2.0990411  2.0850686
## 128  1.0873422  1.1897292  2.6361791  2.2991227  2.5623456  1.5627316
## 129  3.3431109  3.0709374  1.9387363  4.1821209  1.5628457  2.8910054
## 130  3.3994735  2.8528868  2.3705500  3.4676622  1.3786540  2.2857046
## 131  2.4902663  1.5389887  2.7073334  1.5433185  3.1849801  2.1244630
## 132  3.0591838  2.9972848  2.2427923  4.0769546  1.8510234  2.6894761
## 133  2.5345951  2.1394351  1.1805629  3.4471600  1.3840862  1.9992484
## 134  3.5665658  3.4846546  2.6287799  4.1236894  2.4879422  2.8647765
## 135  3.1010333  2.7604010  2.2022728  3.6396121  1.3450047  2.2355317
## 136  2.5567893  1.9447128  1.8627351  3.1696882  2.0969633  1.9547506
## 137  3.0639728  2.3152128  1.2503120  3.1976039  1.9343261  2.2334349
## 138  3.4187947  2.5106695  2.2097289  2.8736661  2.2685130  1.7336358
## 139  3.3013334  2.3719331  1.9101250  2.8524831  1.8309091  2.0540369
## 140  3.1129840  2.4097716  2.9515631  2.4558552  2.5626403  1.3598623
## 141  4.0103102  3.3327219  1.7797731  4.0806270  2.4891446  2.7642913
## 142  2.4771274  2.5206765  1.9358225  3.6030668  2.0953299  3.0160194
## 143  2.9700526  2.4278934  1.7668608  3.0692436  1.7423955  2.2243002
## 144  2.5826299  2.1422378  2.5667379  2.1381022  2.5400892  1.5285167
## 145  2.9975269  2.0950757  3.5721326  1.7093687  3.6402830  2.5126822
## 146  2.1814528  2.1348047  2.5871788  2.8064085  1.6580907  1.6621980
## 147  2.4642368  1.8202424  2.4325001  1.9599753  2.2154890  1.1981878
## 148  3.0995840  2.0882937  2.1402035  2.6823785  2.0774775  1.4828981
## 149  2.2417329  1.6303180  2.6823506  1.8465942  2.7889643  1.4107697
## 150  2.5100903  2.1535784  1.4477704  2.6628772  1.7610436  1.9344124
## 151  2.1822959  1.4624728  1.8466253  2.6564797  1.9882118  0.9885411
## 152  2.5479108  2.1812010  1.8035863  2.9576149  1.2821859  2.2428505
## 153  2.6152613  2.2223245  1.3767369  2.7155118  2.1727551  2.4036982
## 154  2.4633872  1.7640621  2.7427970  2.2970651  2.3797319  1.0514631
## 155  2.8731517  2.2172325  3.6934833  1.5098973  3.4846809  2.5880124
## 156  2.6315716  2.1814222  3.5115367  2.1927127  3.2196295  1.9883422
## 157  2.8720784  2.3284702  2.1623648  2.9251226  1.9573505  1.4242836
##            103        104        105        106        107        108
## 2                                                                    
## 3                                                                    
## 4                                                                    
## 5                                                                    
## 6                                                                    
## 7                                                                    
## 8                                                                    
## 9                                                                    
## 10                                                                   
## 11                                                                   
## 12                                                                   
## 13                                                                   
## 14                                                                   
## 15                                                                   
## 16                                                                   
## 17                                                                   
## 18                                                                   
## 19                                                                   
## 20                                                                   
## 21                                                                   
## 22                                                                   
## 23                                                                   
## 24                                                                   
## 25                                                                   
## 26                                                                   
## 27                                                                   
## 28                                                                   
## 29                                                                   
## 30                                                                   
## 31                                                                   
## 32                                                                   
## 33                                                                   
## 34                                                                   
## 35                                                                   
## 36                                                                   
## 37                                                                   
## 38                                                                   
## 39                                                                   
## 40                                                                   
## 41                                                                   
## 42                                                                   
## 43                                                                   
## 44                                                                   
## 45                                                                   
## 46                                                                   
## 47                                                                   
## 48                                                                   
## 49                                                                   
## 50                                                                   
## 51                                                                   
## 52                                                                   
## 53                                                                   
## 54                                                                   
## 55                                                                   
## 56                                                                   
## 57                                                                   
## 58                                                                   
## 59                                                                   
## 60                                                                   
## 61                                                                   
## 62                                                                   
## 63                                                                   
## 64                                                                   
## 65                                                                   
## 66                                                                   
## 67                                                                   
## 68                                                                   
## 69                                                                   
## 70                                                                   
## 71                                                                   
## 72                                                                   
## 73                                                                   
## 74                                                                   
## 75                                                                   
## 76                                                                   
## 77                                                                   
## 78                                                                   
## 79                                                                   
## 80                                                                   
## 81                                                                   
## 82                                                                   
## 83                                                                   
## 84                                                                   
## 85                                                                   
## 86                                                                   
## 87                                                                   
## 88                                                                   
## 89                                                                   
## 90                                                                   
## 91                                                                   
## 92                                                                   
## 93                                                                   
## 94                                                                   
## 95                                                                   
## 96                                                                   
## 97                                                                   
## 98                                                                   
## 99                                                                   
## 100                                                                  
## 101                                                                  
## 102                                                                  
## 103                                                                  
## 104  3.4241898                                                       
## 105  3.0254035  1.8220864                                            
## 106  2.0905243  3.4191259  2.6432993                                 
## 107  2.9456833  1.9879428  1.6766062  3.0215416                      
## 108  2.8962265  1.8840872  1.5096737  3.2069991  1.5316173           
## 109  1.7419067  3.2881376  2.8263209  1.2121184  2.7991941  3.2973465
## 110  4.0263929  2.0012784  1.1147577  3.5905331  2.0730306  1.9997164
## 111  2.1149542  2.6233453  1.5082968  2.3444732  1.9979538  1.7264794
## 112  3.0064335  2.3553302  1.3991284  2.6562286  1.6414591  2.3907857
## 113  3.0619705  2.0181338  2.2759469  3.3785535  2.4446745  2.4638868
## 114  2.4019640  1.3444216  1.4056313  2.5347420  1.3236854  1.5217414
## 115  2.4310930  2.2399319  2.2642433  2.2771954  2.5634114  2.7236184
## 116  2.6809569  2.1300826  1.1182501  2.2133921  2.4042020  2.1795231
## 117  2.9870055  1.5896332  2.0138274  3.1895355  2.4528408  2.2607392
## 118  2.8754281  2.3753415  1.1995713  2.9292216  1.6350186  1.5632146
## 119  2.9134688  3.2546531  2.8155567  1.9522031  2.7225635  3.0687376
## 120  2.5546919  1.8525018  1.6754453  2.5116964  1.5471902  1.7613245
## 121  1.5442304  3.8179431  3.6129266  2.4181856  3.0562689  3.3201642
## 122  3.2818076  1.9139181  1.1137275  3.2053753  1.5397466  1.0746479
## 123  3.4616811  1.4186716  1.8016446  3.6199900  1.6443870  1.6824325
## 124  3.1078163  2.2297713  1.6796261  2.4890047  2.5435507  2.5221865
## 125  2.5610150  3.4028341  3.1372027  2.1427840  2.7449775  2.9128594
## 126  2.7138769  2.9158812  2.3514102  2.1222607  2.1253820  2.5194745
## 127  2.3503012  3.5362388  2.7521317  2.6970416  2.0881538  2.1967434
## 128  3.3294210  2.2213342  1.1562219  2.7708728  1.9176981  2.1930763
## 129  2.5625361  3.5795927  3.3879186  1.9228894  2.8281737  3.5414202
## 130  2.3857922  3.1750205  2.9705169  2.5894578  1.9826606  2.6785515
## 131  2.8039357  2.2284691  1.8593349  3.1214625  2.3478264  1.8478157
## 132  2.6468056  3.9073894  3.3666690  2.1816600  2.7613905  3.5958002
## 133  2.3807740  2.8144184  2.3843208  1.4845252  2.2777786  2.5102702
## 134  2.6941315  4.3631988  3.2613054  2.3409230  2.9415185  3.4498269
## 135  2.5065560  3.3187293  2.9128418  2.2491409  2.0760468  2.9828742
## 136  2.2783665  3.1455896  2.4980934  2.1156328  2.3077912  2.5428250
## 137  1.7791730  2.8512980  2.6272043  1.5819218  2.2938415  2.7149170
## 138  2.3044418  2.9114345  2.3559247  2.5905096  1.8230760  1.7608670
## 139  1.9498113  2.4984821  2.5883447  2.4576086  1.8895382  2.0601960
## 140  3.0408770  2.7570264  1.9083885  3.2782449  1.4405331  1.3150967
## 141  2.3447802  3.8288712  3.3602889  2.0322378  3.0036050  3.0937638
## 142  2.3025002  3.3861969  2.9714528  1.7577582  3.0139936  3.4932468
## 143  1.6560612  3.1337031  2.7461890  2.0236433  2.1659033  2.6449714
## 144  2.6223441  2.7304627  1.4330759  2.7084851  1.5708337  1.6052189
## 145  3.7407092  1.7775173  1.9350087  4.0484870  2.5550440  1.6028293
## 146  2.7745061  2.7895958  1.9690095  2.6215181  1.3864992  2.4010101
## 147  2.6527636  2.2721698  1.5906027  2.8550387  1.3692680  1.0471044
## 148  2.6051772  2.1884832  2.0042508  2.6967593  1.6444122  1.2102424
## 149  2.9383860  2.2854769  0.8133563  2.8861038  1.6441331  1.4380310
## 150  1.6493107  2.7846194  2.1468655  1.5679997  1.8779657  2.4363558
## 151  2.9446347  1.9025524  1.6341359  2.4011231  1.6110296  1.6588721
## 152  2.4588998  2.1106719  2.3049135  2.1348484  2.0403502  2.3964026
## 153  1.3620929  2.9798565  2.4919969  1.5349153  2.4142710  2.7484996
## 154  3.0220010  2.4479499  1.7089677  3.1046521  1.3359088  1.4554513
## 155  3.8023821  1.3986285  1.9819908  4.1228183  2.3309341  1.9537993
## 156  4.1090412  1.6349234  1.6978906  3.9596397  2.1099185  1.6254233
## 157  2.4591140  2.9985921  2.1686314  2.5033360  1.6929769  1.7898147
##            109        110        111        112        113        114
## 2                                                                    
## 3                                                                    
## 4                                                                    
## 5                                                                    
## 6                                                                    
## 7                                                                    
## 8                                                                    
## 9                                                                    
## 10                                                                   
## 11                                                                   
## 12                                                                   
## 13                                                                   
## 14                                                                   
## 15                                                                   
## 16                                                                   
## 17                                                                   
## 18                                                                   
## 19                                                                   
## 20                                                                   
## 21                                                                   
## 22                                                                   
## 23                                                                   
## 24                                                                   
## 25                                                                   
## 26                                                                   
## 27                                                                   
## 28                                                                   
## 29                                                                   
## 30                                                                   
## 31                                                                   
## 32                                                                   
## 33                                                                   
## 34                                                                   
## 35                                                                   
## 36                                                                   
## 37                                                                   
## 38                                                                   
## 39                                                                   
## 40                                                                   
## 41                                                                   
## 42                                                                   
## 43                                                                   
## 44                                                                   
## 45                                                                   
## 46                                                                   
## 47                                                                   
## 48                                                                   
## 49                                                                   
## 50                                                                   
## 51                                                                   
## 52                                                                   
## 53                                                                   
## 54                                                                   
## 55                                                                   
## 56                                                                   
## 57                                                                   
## 58                                                                   
## 59                                                                   
## 60                                                                   
## 61                                                                   
## 62                                                                   
## 63                                                                   
## 64                                                                   
## 65                                                                   
## 66                                                                   
## 67                                                                   
## 68                                                                   
## 69                                                                   
## 70                                                                   
## 71                                                                   
## 72                                                                   
## 73                                                                   
## 74                                                                   
## 75                                                                   
## 76                                                                   
## 77                                                                   
## 78                                                                   
## 79                                                                   
## 80                                                                   
## 81                                                                   
## 82                                                                   
## 83                                                                   
## 84                                                                   
## 85                                                                   
## 86                                                                   
## 87                                                                   
## 88                                                                   
## 89                                                                   
## 90                                                                   
## 91                                                                   
## 92                                                                   
## 93                                                                   
## 94                                                                   
## 95                                                                   
## 96                                                                   
## 97                                                                   
## 98                                                                   
## 99                                                                   
## 100                                                                  
## 101                                                                  
## 102                                                                  
## 103                                                                  
## 104                                                                  
## 105                                                                  
## 106                                                                  
## 107                                                                  
## 108                                                                  
## 109                                                                  
## 110  3.7164867                                                       
## 111  2.3823483  2.3767581                                            
## 112  2.4435308  1.8902342  2.0667218                                 
## 113  3.0286113  2.6040489  2.0571726  2.7340303                      
## 114  2.3972148  2.1308413  1.6449092  1.7470222  1.8283329           
## 115  2.1443722  3.1343616  2.4124589  2.1951563  2.8259325  1.6317208
## 116  2.4090606  1.9709895  1.4835475  1.7277972  2.2221311  1.6398448
## 117  3.0454463  2.5796448  2.3104177  2.3296725  2.2753157  1.4087139
## 118  2.9433631  1.8720572  1.0719375  1.7542302  2.1872594  1.6035006
## 119  1.9333229  3.3603798  2.5765892  2.9394427  3.0337898  2.7003052
## 120  2.4252712  2.2538033  2.2410381  1.7527840  2.7844362  1.4519292
## 121  1.9484633  4.5814132  2.8043031  3.4631582  3.6354623  2.8353399
## 122  3.3549630  1.3467973  1.9471357  2.0340771  2.5329577  1.7560303
## 123  3.4319118  2.0054555  2.6068730  1.9877976  2.8061735  1.6283257
## 124  2.5346990  2.1396106  1.7389152  2.2704571  1.6708800  1.8843116
## 125  2.1701247  3.8147969  2.6829592  3.3872299  3.2346367  2.7550707
## 126  1.9457816  2.9348925  1.9939401  2.4653263  2.6448772  2.2714339
## 127  2.6957852  3.4732601  2.0803993  2.9085646  3.4277936  2.5683989
## 128  2.8437369  1.6209575  1.6692804  1.5881427  2.1273419  1.6954421
## 129  1.4604072  4.1050993  3.0310036  3.1061776  3.4141631  2.8040383
## 130  2.0893738  3.6250358  2.4243884  2.8489166  2.9291649  2.3256918
## 131  3.1422569  2.5983419  1.5888032  2.5491454  2.1174096  1.6489692
## 132  1.7116484  4.1068452  2.8306400  2.8286432  3.6900280  2.8777217
## 133  1.6791886  3.1247363  2.1857912  2.5675101  2.8879469  2.0869086
## 134  2.3419863  4.0003048  2.6431434  3.0497915  3.9517723  3.3464504
## 135  1.7429072  3.5969666  2.4793313  2.5781613  3.1111646  2.4182692
## 136  1.8936361  3.3044819  1.8195332  2.4893072  2.9105320  2.2373719
## 137  1.2649551  3.5218072  2.3716366  2.4259666  3.1727661  1.9789767
## 138  2.5794327  3.1332550  2.0152526  2.6720473  3.1391382  2.1706385
## 139  2.1183818  3.3362769  2.2703980  2.6198003  2.9005640  1.7471303
## 140  3.2716186  2.3802817  1.8091789  2.3304052  3.0257182  2.1036484
## 141  2.3275703  4.2305978  3.0039522  3.4741685  4.1461730  3.0163788
## 142  1.2650701  3.7063917  2.3705826  2.7164984  2.7176008  2.4897733
## 143  1.5530181  3.6096755  1.9970897  2.5071268  2.9586370  2.0188325
## 144  2.7806726  2.1645977  1.4057649  1.7712163  2.7297774  1.9340469
## 145  4.0621290  1.9957165  2.3505133  2.8948154  2.2888625  2.0760385
## 146  2.1920721  2.4394384  1.8444069  1.3818745  2.5935821  1.9236094
## 147  2.9260386  2.2723324  1.3019006  2.2106087  2.3598188  1.4027326
## 148  2.7393885  2.6180455  2.0056172  2.5657483  2.7941056  1.7458941
## 149  2.9499456  1.4782963  1.3853459  1.4677953  2.5578302  1.7389152
## 150  1.3805082  3.0749481  1.8650210  1.8176386  2.8569737  1.6258691
## 151  2.6283572  2.2770291  2.1562058  2.0632939  2.8331694  1.4187860
## 152  1.9977334  2.9015237  2.2184503  2.5064193  2.1233051  1.4715346
## 153  1.3388033  3.4832385  1.9296405  2.2734221  2.8470065  1.8075432
## 154  3.0047273  2.2191196  1.6758697  2.0254950  2.6207048  1.7975422
## 155  3.9901360  1.9231374  2.5957887  2.5712536  2.1418402  1.8126751
## 156  4.1247315  1.4662175  2.6559127  2.6158216  2.6589040  1.9554762
## 157  2.5344894  2.8585451  1.8657957  2.2614909  3.2610763  2.1155151
##            115        116        117        118        119        120
## 2                                                                    
## 3                                                                    
## 4                                                                    
## 5                                                                    
## 6                                                                    
## 7                                                                    
## 8                                                                    
## 9                                                                    
## 10                                                                   
## 11                                                                   
## 12                                                                   
## 13                                                                   
## 14                                                                   
## 15                                                                   
## 16                                                                   
## 17                                                                   
## 18                                                                   
## 19                                                                   
## 20                                                                   
## 21                                                                   
## 22                                                                   
## 23                                                                   
## 24                                                                   
## 25                                                                   
## 26                                                                   
## 27                                                                   
## 28                                                                   
## 29                                                                   
## 30                                                                   
## 31                                                                   
## 32                                                                   
## 33                                                                   
## 34                                                                   
## 35                                                                   
## 36                                                                   
## 37                                                                   
## 38                                                                   
## 39                                                                   
## 40                                                                   
## 41                                                                   
## 42                                                                   
## 43                                                                   
## 44                                                                   
## 45                                                                   
## 46                                                                   
## 47                                                                   
## 48                                                                   
## 49                                                                   
## 50                                                                   
## 51                                                                   
## 52                                                                   
## 53                                                                   
## 54                                                                   
## 55                                                                   
## 56                                                                   
## 57                                                                   
## 58                                                                   
## 59                                                                   
## 60                                                                   
## 61                                                                   
## 62                                                                   
## 63                                                                   
## 64                                                                   
## 65                                                                   
## 66                                                                   
## 67                                                                   
## 68                                                                   
## 69                                                                   
## 70                                                                   
## 71                                                                   
## 72                                                                   
## 73                                                                   
## 74                                                                   
## 75                                                                   
## 76                                                                   
## 77                                                                   
## 78                                                                   
## 79                                                                   
## 80                                                                   
## 81                                                                   
## 82                                                                   
## 83                                                                   
## 84                                                                   
## 85                                                                   
## 86                                                                   
## 87                                                                   
## 88                                                                   
## 89                                                                   
## 90                                                                   
## 91                                                                   
## 92                                                                   
## 93                                                                   
## 94                                                                   
## 95                                                                   
## 96                                                                   
## 97                                                                   
## 98                                                                   
## 99                                                                   
## 100                                                                  
## 101                                                                  
## 102                                                                  
## 103                                                                  
## 104                                                                  
## 105                                                                  
## 106                                                                  
## 107                                                                  
## 108                                                                  
## 109                                                                  
## 110                                                                  
## 111                                                                  
## 112                                                                  
## 113                                                                  
## 114                                                                  
## 115                                                                  
## 116  1.7969045                                                       
## 117  1.3783504  1.7450771                                            
## 118  2.4476352  1.6173796  2.1413946                                 
## 119  3.1725261  2.7946563  3.6004920  3.0791285                      
## 120  2.2657559  2.1230467  2.3995821  2.3520848  2.5498856           
## 121  2.6580916  3.4227361  3.4508352  3.2982248  2.8898698  3.0361924
## 122  2.9834918  2.0627074  2.6387536  1.6709609  3.0416892  1.6143474
## 123  2.2891518  2.3537785  1.7689973  2.1232857  3.5556755  1.7332223
## 124  2.3797015  1.2800428  2.1687233  1.9506230  2.3215715  2.5966837
## 125  3.3276153  3.2079197  3.7913219  3.2437147  1.1735742  2.6034403
## 126  2.8167306  2.4228759  3.1233584  2.3371018  0.9899552  2.3543958
## 127  3.3692380  3.1494419  3.6431979  2.4273160  2.4844912  2.4436807
## 128  2.3066106  1.3904604  2.1063557  1.1128861  2.8612028  2.4937247
## 129  2.9711825  3.3137673  3.7451609  3.4720626  1.4773955  2.7508504
## 130  2.9973320  3.1936290  3.3919844  2.7518699  1.8593857  2.4033931
## 131  2.0260251  1.7515242  1.5162438  1.3095671  3.5097821  2.7699709
## 132  2.8569482  3.2754429  3.6088143  3.1358597  2.1947813  3.0600890
## 133  2.5027210  2.3801388  3.0062776  2.6195705  1.0914560  2.0817343
## 134  3.7970276  3.4348400  4.4262365  3.0939441  2.3900815  3.0822737
## 135  2.8337133  3.0460693  3.4372369  2.7474085  1.7510059  2.4704205
## 136  2.3408817  2.3851823  2.7587526  2.1221458  2.0267387  2.6298954
## 137  1.8163238  2.4821144  2.6997165  2.7835187  2.0710331  1.8434291
## 138  2.8383522  2.7587650  3.1501789  2.2082175  2.4663102  1.9725200
## 139  2.2380986  2.7172272  2.5392171  2.6018324  2.2886896  1.6953603
## 140  3.0780366  2.6145523  2.9273619  1.5577515  3.0262767  2.1247634
## 141  3.1519104  3.4329869  3.9360403  3.4916402  2.3623190  2.5672516
## 142  2.4860162  2.4694607  3.0163628  2.9711053  1.9505260  2.9371602
## 143  2.1878396  2.6340910  2.7444617  2.4445226  2.2179010  2.3547317
## 144  2.8358375  2.0563540  2.8870701  1.2592070  2.9123317  1.9440978
## 145  2.9608506  2.2501211  1.8581462  2.0010545  3.9350928  2.7447438
## 146  2.6933873  2.3294913  2.8404464  1.8136326  2.2628970  2.0362533
## 147  2.4765810  2.0822150  2.2158571  1.0459240  2.8409896  2.1315802
## 148  2.6064665  2.4413973  2.6007043  2.1477483  2.2753467  1.5788253
## 149  2.5520655  1.5451804  2.3324981  1.0306873  3.0175887  1.8070656
## 150  1.9184451  2.1521134  2.5980101  2.2117374  2.3278530  1.7100723
## 151  1.9680354  2.0110145  2.0976297  1.9615598  2.4518976  1.7039454
## 152  2.2950422  2.2926512  2.4612471  2.5987787  1.7782341  1.8978222
## 153  1.6747752  2.1506830  2.4382460  2.3951839  2.6109511  2.2789849
## 154  2.6321091  2.2924441  2.4393796  1.1559237  2.8578675  2.2504829
## 155  2.7778581  2.3254430  1.5881710  2.1553989  4.0738694  2.5783580
## 156  3.0608861  2.4450674  2.2368329  2.0491711  3.8090661  2.5188616
## 157  2.8060468  2.5882868  3.0005457  2.0134574  2.3763106  1.9435045
##            121        122        123        124        125        126
## 2                                                                    
## 3                                                                    
## 4                                                                    
## 5                                                                    
## 6                                                                    
## 7                                                                    
## 8                                                                    
## 9                                                                    
## 10                                                                   
## 11                                                                   
## 12                                                                   
## 13                                                                   
## 14                                                                   
## 15                                                                   
## 16                                                                   
## 17                                                                   
## 18                                                                   
## 19                                                                   
## 20                                                                   
## 21                                                                   
## 22                                                                   
## 23                                                                   
## 24                                                                   
## 25                                                                   
## 26                                                                   
## 27                                                                   
## 28                                                                   
## 29                                                                   
## 30                                                                   
## 31                                                                   
## 32                                                                   
## 33                                                                   
## 34                                                                   
## 35                                                                   
## 36                                                                   
## 37                                                                   
## 38                                                                   
## 39                                                                   
## 40                                                                   
## 41                                                                   
## 42                                                                   
## 43                                                                   
## 44                                                                   
## 45                                                                   
## 46                                                                   
## 47                                                                   
## 48                                                                   
## 49                                                                   
## 50                                                                   
## 51                                                                   
## 52                                                                   
## 53                                                                   
## 54                                                                   
## 55                                                                   
## 56                                                                   
## 57                                                                   
## 58                                                                   
## 59                                                                   
## 60                                                                   
## 61                                                                   
## 62                                                                   
## 63                                                                   
## 64                                                                   
## 65                                                                   
## 66                                                                   
## 67                                                                   
## 68                                                                   
## 69                                                                   
## 70                                                                   
## 71                                                                   
## 72                                                                   
## 73                                                                   
## 74                                                                   
## 75                                                                   
## 76                                                                   
## 77                                                                   
## 78                                                                   
## 79                                                                   
## 80                                                                   
## 81                                                                   
## 82                                                                   
## 83                                                                   
## 84                                                                   
## 85                                                                   
## 86                                                                   
## 87                                                                   
## 88                                                                   
## 89                                                                   
## 90                                                                   
## 91                                                                   
## 92                                                                   
## 93                                                                   
## 94                                                                   
## 95                                                                   
## 96                                                                   
## 97                                                                   
## 98                                                                   
## 99                                                                   
## 100                                                                  
## 101                                                                  
## 102                                                                  
## 103                                                                  
## 104                                                                  
## 105                                                                  
## 106                                                                  
## 107                                                                  
## 108                                                                  
## 109                                                                  
## 110                                                                  
## 111                                                                  
## 112                                                                  
## 113                                                                  
## 114                                                                  
## 115                                                                  
## 116                                                                  
## 117                                                                  
## 118                                                                  
## 119                                                                  
## 120                                                                  
## 121                                                                  
## 122  3.8249774                                                       
## 123  3.6887124  1.8580134                                            
## 124  3.6251678  2.4372923  2.7979562                                 
## 125  2.3516076  3.0944260  3.6901867  2.9364816                      
## 126  2.5918979  2.6075814  2.9805077  2.0201082  1.4887012           
## 127  2.2751978  2.5495991  3.2097001  3.3196379  1.9751033  2.0321752
## 128  3.6760521  2.0045859  2.3075114  1.3848133  3.3203845  2.2700295
## 129  2.0958196  3.6334851  3.7932085  3.0751459  1.4449195  1.7533145
## 130  1.8610745  2.9696057  3.1084976  2.9778656  1.5226541  1.4649134
## 131  3.1879451  2.3596148  2.2673320  2.0957491  3.5211732  2.8408871
## 132  2.0719672  3.8093203  3.7237403  3.1819555  2.3707538  1.9473150
## 133  2.3844385  2.6522803  3.0679958  2.2459525  1.1699862  1.2212617
## 134  2.6728167  3.3550812  4.1659331  3.5477859  2.2771022  2.2431619
## 135  1.9712761  3.0929180  3.2213072  2.8762596  1.7363332  1.3801623
## 136  1.9917140  2.9670343  2.9210387  2.3475010  2.1611050  1.3274818
## 137  1.5910132  2.9575026  2.7752900  2.7565977  1.9754128  1.9193814
## 138  2.1512247  2.1151665  2.5753264  3.0422375  1.9823955  1.9310962
## 139  1.7988259  2.6200234  2.3337800  2.8775488  1.9453159  1.9499004
## 140  3.1464873  1.6198306  2.0816661  2.8969692  2.9282964  2.2864018
## 141  1.9592875  3.3372951  3.7214850  3.7131803  1.6837639  2.4281378
## 142  2.6071552  3.6091917  3.7237620  2.1329875  2.4413748  1.9981360
## 143  1.3757488  3.0827957  2.9603683  2.7298256  2.0803377  1.7751478
## 144  3.1157719  1.3716641  2.4069241  2.5778860  2.8891525  2.3340829
## 145  4.3099297  1.9967750  1.8867792  2.4580697  4.0487905  3.3671749
## 146  2.9309790  2.3111520  2.4607144  2.3054355  2.6698186  1.6506161
## 147  2.8828241  1.6505115  2.0673331  2.2871207  2.7179069  2.1594591
## 148  2.6471929  1.7582948  2.0037491  2.6020114  2.0023074  1.8141512
## 149  3.4955722  1.1808928  1.8250482  2.1547685  3.2524606  2.4017949
## 150  2.0110015  2.5331281  2.7181438  2.5657488  2.2890646  2.0906667
## 151  2.9751313  1.9180483  1.8491150  2.2717945  2.5076968  2.0526930
## 152  2.7361994  2.5274056  2.7611879  1.9736545  1.8577950  1.8376592
## 153  1.8313172  3.0096240  3.0514351  2.5612877  2.5384490  2.3732596
## 154  3.0249210  1.8523847  1.8766276  2.4379190  2.9217284  2.0191055
## 155  4.3948007  2.1123174  1.6374923  2.5420302  4.2494582  3.5512450
## 156  4.5148746  1.6153655  1.7995046  2.6070755  3.9434048  3.3350375
## 157  2.5002947  2.1730531  2.5002295  2.8899654  2.2334779  1.8309595
##            127        128        129        130        131        132
## 2                                                                    
## 3                                                                    
## 4                                                                    
## 5                                                                    
## 6                                                                    
## 7                                                                    
## 8                                                                    
## 9                                                                    
## 10                                                                   
## 11                                                                   
## 12                                                                   
## 13                                                                   
## 14                                                                   
## 15                                                                   
## 16                                                                   
## 17                                                                   
## 18                                                                   
## 19                                                                   
## 20                                                                   
## 21                                                                   
## 22                                                                   
## 23                                                                   
## 24                                                                   
## 25                                                                   
## 26                                                                   
## 27                                                                   
## 28                                                                   
## 29                                                                   
## 30                                                                   
## 31                                                                   
## 32                                                                   
## 33                                                                   
## 34                                                                   
## 35                                                                   
## 36                                                                   
## 37                                                                   
## 38                                                                   
## 39                                                                   
## 40                                                                   
## 41                                                                   
## 42                                                                   
## 43                                                                   
## 44                                                                   
## 45                                                                   
## 46                                                                   
## 47                                                                   
## 48                                                                   
## 49                                                                   
## 50                                                                   
## 51                                                                   
## 52                                                                   
## 53                                                                   
## 54                                                                   
## 55                                                                   
## 56                                                                   
## 57                                                                   
## 58                                                                   
## 59                                                                   
## 60                                                                   
## 61                                                                   
## 62                                                                   
## 63                                                                   
## 64                                                                   
## 65                                                                   
## 66                                                                   
## 67                                                                   
## 68                                                                   
## 69                                                                   
## 70                                                                   
## 71                                                                   
## 72                                                                   
## 73                                                                   
## 74                                                                   
## 75                                                                   
## 76                                                                   
## 77                                                                   
## 78                                                                   
## 79                                                                   
## 80                                                                   
## 81                                                                   
## 82                                                                   
## 83                                                                   
## 84                                                                   
## 85                                                                   
## 86                                                                   
## 87                                                                   
## 88                                                                   
## 89                                                                   
## 90                                                                   
## 91                                                                   
## 92                                                                   
## 93                                                                   
## 94                                                                   
## 95                                                                   
## 96                                                                   
## 97                                                                   
## 98                                                                   
## 99                                                                   
## 100                                                                  
## 101                                                                  
## 102                                                                  
## 103                                                                  
## 104                                                                  
## 105                                                                  
## 106                                                                  
## 107                                                                  
## 108                                                                  
## 109                                                                  
## 110                                                                  
## 111                                                                  
## 112                                                                  
## 113                                                                  
## 114                                                                  
## 115                                                                  
## 116                                                                  
## 117                                                                  
## 118                                                                  
## 119                                                                  
## 120                                                                  
## 121                                                                  
## 122                                                                  
## 123                                                                  
## 124                                                                  
## 125                                                                  
## 126                                                                  
## 127                                                                  
## 128  3.0499895                                                       
## 129  2.5482769  3.3328808                                            
## 130  1.6165695  2.9903587  1.4965568                                 
## 131  3.0292294  1.7367215  3.7592905  3.1432669                      
## 132  2.4388302  3.0981876  1.4889823  1.7432359  3.5360652           
## 133  2.0417668  2.5048312  1.4441686  1.7320486  2.9022689  1.9695971
## 134  1.7499152  3.3632444  2.3048332  2.1634998  3.8771935  2.2310274
## 135  1.9266336  2.8063673  1.2138253  0.8187221  3.2446630  1.2704166
## 136  1.9494050  2.3007613  2.1417258  1.7253087  2.3458261  1.6334081
## 137  2.2687754  2.8664426  1.5949734  1.7164176  2.8903148  1.7972355
## 138  1.1324784  2.7837659  2.5661439  1.6584125  2.5992006  2.7097264
## 139  1.8625003  2.9369557  2.1008515  1.4593327  2.6575046  2.2637306
## 140  1.7006040  2.3253186  3.4179001  2.3263943  2.3338307  3.1683088
## 141  1.9276624  3.7585531  2.0549245  2.1183486  3.7136494  2.5022616
## 142  3.0756910  2.7060877  1.8439721  2.3790936  3.1356981  1.8176090
## 143  1.8413594  2.7248297  1.7751633  1.3674651  2.6245695  1.3055164
## 144  1.8299797  1.9219748  3.2244629  2.5310598  2.2290841  3.1179350
## 145  3.6283592  2.3191010  4.5408433  3.7995054  1.7281657  4.5194908
## 146  2.1318809  1.8860039  2.4252877  1.8344876  2.7320618  2.0156686
## 147  1.8475775  1.7385648  3.1424565  2.2846029  1.4664797  2.9237938
## 148  1.7364956  2.5444116  2.7029670  1.9197416  2.3783535  2.9319668
## 149  2.4549619  1.5406181  3.5457168  2.8858323  1.9483952  3.3612931
## 150  1.9809993  2.3590248  1.9447199  1.9005705  2.5870492  1.8657701
## 151  2.4034690  1.8842724  2.7119535  2.4210889  2.1264549  2.7429448
## 152  2.6314830  2.4173588  1.8971958  1.9561392  2.7073416  2.4812095
## 153  2.4107345  2.5303217  2.1517923  2.2554896  2.4237605  1.9652552
## 154  1.9909443  1.7208641  3.1950934  2.2468443  1.8196470  2.8366736
## 155  3.8721250  2.2839398  4.4784077  3.8156225  2.0144236  4.4487819
## 156  3.5406312  2.0474266  4.3484722  3.7277272  2.2094022  4.3697580
## 157  1.0750361  2.5194290  2.6062043  1.8642172  2.6398913  2.2971934
##            133        134        135        136        137        138
## 2                                                                    
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## 130                                                                  
## 131                                                                  
## 132                                                                  
## 133                                                                  
## 134  2.3412532                                                       
## 135  1.7004171  1.9105909                                            
## 136  1.6156274  2.4209014  1.6933840                                 
## 137  1.5494368  2.5597187  1.5463752  1.7875557                      
## 138  1.9929950  2.2455800  1.9288429  1.9307455  1.9113933           
## 139  1.6918231  2.9075557  1.8397240  1.7676051  1.2535506  1.5631695
## 140  2.6674603  2.8418471  2.5141718  2.2725092  2.6691725  1.4058783
## 141  1.8748757  2.2472490  2.1315048  2.4683904  1.6380942  1.7770242
## 142  1.8675998  2.8578371  2.1160260  2.0048967  2.0394525  3.1896265
## 143  1.7056587  2.3648978  1.3541109  1.2183592  1.1934090  1.9383674
## 144  2.4571562  2.3548346  2.5336406  2.3567698  2.5952225  1.6424274
## 145  3.4948623  4.7049911  4.0505769  3.2969080  3.6827583  3.1607008
## 146  2.1233402  2.3111412  1.6429790  1.8175611  2.1909145  2.2185212
## 147  2.2025477  3.0054103  2.4881902  1.9129531  2.4712656  1.6911009
## 148  1.7644424  2.9725767  2.2672677  1.9803304  1.9727169  1.1410856
## 149  2.6443279  3.0391683  2.8711234  2.4114361  2.6980233  2.0870542
## 150  1.6260873  2.1697688  1.7252382  1.8632285  1.2410941  1.9614849
## 151  1.6507587  3.2521728  2.4373475  1.9982881  2.0093108  1.9869070
## 152  1.3656579  3.1276981  2.0395933  2.2869226  1.8031237  2.4817858
## 153  1.8736596  2.6241884  2.0946504  1.8854854  1.4038064  2.3893323
## 154  2.3924085  2.9873993  2.3912571  1.7334990  2.5855629  1.7280567
## 155  3.6256897  4.8299940  3.9926388  3.5373077  3.6348747  3.4361031
## 156  3.2850098  4.5365036  3.8777677  3.4503433  3.6634656  3.1419114
## 157  1.7799155  2.2314183  2.0300645  1.5736204  2.0170333  1.3210881
##            139        140        141        142        143        144
## 2                                                                    
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## 133                                                                  
## 134                                                                  
## 135                                                                  
## 136                                                                  
## 137                                                                  
## 138                                                                  
## 139                                                                  
## 140  2.1960225                                                       
## 141  1.9761681  2.9269696                                            
## 142  2.5304477  3.5620319  3.0938573                                 
## 143  1.2815196  2.4346526  2.1187529  1.7872603                      
## 144  2.4814733  1.3777126  2.9048108  3.1818473  2.4778666           
## 145  3.1101774  2.5207636  4.4373931  3.9943661  3.5802185  2.7060393
## 146  2.1664316  1.9502990  3.0788549  2.2659034  1.8334725  1.7947670
## 147  1.9748407  1.2802101  2.9426524  2.9757427  2.0742698  1.4556595
## 148  1.2703599  1.4888070  2.1920244  3.0875405  2.0809973  1.9750697
## 149  2.5651506  1.4057030  3.3321969  3.2138168  2.6830309  1.0444396
## 150  1.6623607  2.4432250  2.1139017  1.9357105  1.3048121  1.9048638
## 151  1.7982258  2.0750657  2.6038232  2.8391826  2.1916886  2.1222154
## 152  1.7488957  2.8554147  2.6541963  1.8274255  1.9215362  2.6872561
## 153  1.8901135  2.8900876  2.3948656  1.6882334  1.2579344  2.3896420
## 154  2.1117452  1.1025563  3.1593247  3.1529796  2.2146787  1.5480411
## 155  3.1506480  2.7862512  4.6235340  3.8923574  3.5728253  2.8395364
## 156  3.1907633  2.4668781  4.2889437  4.0765103  3.6653719  2.5585481
## 157  1.5615741  1.4385372  2.1555271  2.8587496  1.6927710  1.6687357
##            145        146        147        148        149        150
## 2                                                                    
## 3                                                                    
## 4                                                                    
## 5                                                                    
## 6                                                                    
## 7                                                                    
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## 133                                                                  
## 134                                                                  
## 135                                                                  
## 136                                                                  
## 137                                                                  
## 138                                                                  
## 139                                                                  
## 140                                                                  
## 141                                                                  
## 142                                                                  
## 143                                                                  
## 144                                                                  
## 145                                                                  
## 146  3.2010493                                                       
## 147  2.0530992  1.9652324                                            
## 148  2.4766137  2.2495834  1.4762152                                 
## 149  2.0647193  1.8257972  1.5294350  1.9648625                      
## 150  3.4538010  1.7011801  2.0274913  2.1517154  2.2252661           
## 151  2.4991383  2.1899722  1.4866247  1.3986997  1.9814127  1.9076088
## 152  3.0978352  2.2028592  2.2074614  2.0100217  2.7213874  1.7727710
## 153  3.5338059  2.2140097  2.2329577  2.5144657  2.6256238  0.8547825
## 154  2.2541524  1.6638013  0.9837522  1.6051151  1.4284975  2.2747695
## 155  1.0661771  3.0444471  2.2884657  2.7899943  2.2273686  3.3124783
## 156  1.4305874  3.0255814  1.9550250  2.4580770  2.0840897  3.2797359
## 157  3.0828295  1.7270500  1.4806138  1.3502483  1.9221232  1.7361923
##            151        152        153        154        155        156
## 2                                                                    
## 3                                                                    
## 4                                                                    
## 5                                                                    
## 6                                                                    
## 7                                                                    
## 8                                                                    
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## 10                                                                   
## 11                                                                   
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## 13                                                                   
## 14                                                                   
## 15                                                                   
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## 32                                                                   
## 33                                                                   
## 34                                                                   
## 35                                                                   
## 36                                                                   
## 37                                                                   
## 38                                                                   
## 39                                                                   
## 40                                                                   
## 41                                                                   
## 42                                                                   
## 43                                                                   
## 44                                                                   
## 45                                                                   
## 46                                                                   
## 47                                                                   
## 48                                                                   
## 49                                                                   
## 50                                                                   
## 51                                                                   
## 52                                                                   
## 53                                                                   
## 54                                                                   
## 55                                                                   
## 56                                                                   
## 57                                                                   
## 58                                                                   
## 59                                                                   
## 60                                                                   
## 61                                                                   
## 62                                                                   
## 63                                                                   
## 64                                                                   
## 65                                                                   
## 66                                                                   
## 67                                                                   
## 68                                                                   
## 69                                                                   
## 70                                                                   
## 71                                                                   
## 72                                                                   
## 73                                                                   
## 74                                                                   
## 75                                                                   
## 76                                                                   
## 77                                                                   
## 78                                                                   
## 79                                                                   
## 80                                                                   
## 81                                                                   
## 82                                                                   
## 83                                                                   
## 84                                                                   
## 85                                                                   
## 86                                                                   
## 87                                                                   
## 88                                                                   
## 89                                                                   
## 90                                                                   
## 91                                                                   
## 92                                                                   
## 93                                                                   
## 94                                                                   
## 95                                                                   
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## 98                                                                   
## 99                                                                   
## 100                                                                  
## 101                                                                  
## 102                                                                  
## 103                                                                  
## 104                                                                  
## 105                                                                  
## 106                                                                  
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## 108                                                                  
## 109                                                                  
## 110                                                                  
## 111                                                                  
## 112                                                                  
## 113                                                                  
## 114                                                                  
## 115                                                                  
## 116                                                                  
## 117                                                                  
## 118                                                                  
## 119                                                                  
## 120                                                                  
## 121                                                                  
## 122                                                                  
## 123                                                                  
## 124                                                                  
## 125                                                                  
## 126                                                                  
## 127                                                                  
## 128                                                                  
## 129                                                                  
## 130                                                                  
## 131                                                                  
## 132                                                                  
## 133                                                                  
## 134                                                                  
## 135                                                                  
## 136                                                                  
## 137                                                                  
## 138                                                                  
## 139                                                                  
## 140                                                                  
## 141                                                                  
## 142                                                                  
## 143                                                                  
## 144                                                                  
## 145                                                                  
## 146                                                                  
## 147                                                                  
## 148                                                                  
## 149                                                                  
## 150                                                                  
## 151                                                                  
## 152  1.8515490                                                       
## 153  2.1996599  1.8916235                                            
## 154  1.6510969  2.6160923  2.6132812                                 
## 155  2.5793966  2.9344600  3.4187333  2.4993386                      
## 156  2.0065047  2.8940177  3.5462931  2.1944969  1.4104823           
## 157  1.6881363  2.3970628  2.1951782  1.4462885  3.3037114  2.9521948
hcy = hclust(md, method = "ward.D")
plot(hcy, hang = -10)

The cluster Dendrogram suggests 2 clusters.

classes <- cutree(hcy, k=2)
classes # affectation de chaque ind a sa classe
##   [1] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
##  [38] 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
##  [75] 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
## [112] 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
## [149] 2 2 2 2 2 2 2 2 2
table(classes)
## classes
##   1   2 
##  42 115
plot(hcy, hang = -1)
rect.hclust(hcy, k=2, border = "red")

data.class=cbind.data.frame(data, classes)
View(data.class)
colnames(data.class)[10]="classe.cah"
classes <- cutree(hcy, k=2)
classes # affectation de chaque ind a sa classe
##   [1] 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
##  [38] 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
##  [75] 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
## [112] 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
## [149] 2 2 2 2 2 2 2 2 2
table(classes)
## classes
##   1   2 
##  42 115
plot(hcy, hang = -1)
rect.hclust(hcy, k=2, border = "red") # d'après le graphique, on remarque 3 clusters 

data.class=cbind.data.frame(data, as.factor(classes))
View(data.class)
colnames(data.class)[10]=c("classe.cah")
str(data.class)
## 'data.frame':    157 obs. of  22 variables:
##  $ age                    : num  48 53 63 68 61 48 69 73 73 46 ...
##  $ specific gravity       : num  1 1.02 1.01 1.01 1.01 ...
##  $ albumin                : num  4 2 3 3 2 4 3 0 2 1 ...
##  $ blood glucose random   : num  117 70 380 157 173 95 264 70 253 163 ...
##  $ blood urea             : num  56 107 60 90 148 163 87 32 142 92 ...
##  $ serum creatinine       : num  3.8 7.2 2.7 4.1 3.9 7.7 2.7 0.9 4.6 3.3 ...
##  $ sodium                 : num  111 114 131 130 135 136 130 125 138 141 ...
##  $ potassium              : num  2.5 3.7 4.2 6.4 5.2 3.8 4 4 5.8 4 ...
##  $ hemoglobin             : num  11.2 9.5 10.8 5.6 7.7 9.8 12.5 10 10.5 9.8 ...
##  $ classe.cah             : num  32 29 32 16 24 32 37 29 33 28 ...
##  $ white blood cell count : num  6700 12100 4500 11000 9200 6900 9600 18900 7200 14600 ...
##  $ red blood cell count   : num  3.9 3.7 3.8 2.6 3.2 3.4 4.1 3.5 4.3 3.2 ...
##  $ bacteria               : Factor w/ 2 levels "notpresent","present": 1 1 1 2 1 1 1 1 1 1 ...
##  $ pus cell               : Factor w/ 2 levels "abnormal","normal": 1 1 1 1 1 1 1 2 1 2 ...
##  $ hypertension           : Factor w/ 2 levels "0","1": 2 2 2 2 2 2 2 2 2 2 ...
##  $ diabetes mellitus      : Factor w/ 2 levels "0","1": 1 2 2 2 2 1 2 2 2 2 ...
##  $ coronary artery disease: Factor w/ 2 levels "0","1": 1 1 1 2 2 1 2 1 2 1 ...
##  $ appetite               : Factor w/ 2 levels "good","poor": 2 2 2 2 2 1 1 1 1 1 ...
##  $ pedal edema            : Factor w/ 2 levels "0","1": 2 1 2 2 2 1 2 2 1 1 ...
##  $ anemia                 : Factor w/ 2 levels "0","1": 2 2 1 1 2 2 1 1 1 1 ...
##  $ chronic kidney disease : Factor w/ 2 levels "notsick","sick": 2 2 2 2 2 2 2 2 2 2 ...
##  $ as.factor(classes)     : Factor w/ 2 levels "1","2": 1 1 1 1 1 1 1 1 1 1 ...
catdes(data.class,num.var=21)
## 
## Link between the cluster variable and the categorical variables (chi-square test)
## =================================================================================
##                              p.value df
## as.factor(classes)      5.118585e-36  1
## hypertension            1.141654e-27  1
## pus.cell                5.679203e-23  1
## diabetes.mellitus       3.421927e-21  1
## pedal.edema             2.339270e-15  1
## appetite                8.580206e-14  1
## anemia                  2.862256e-12  1
## bacteria                2.452464e-09  1
## coronary.artery.disease 1.262449e-08  1
## 
## Description of each cluster by the categories
## =============================================
## $notsick
##                             Cla/Mod Mod/Cla    Global      p.value     v.test
## as.factor(classes)=2      100.00000     100 73.248408 3.503773e-39  13.095281
## hypertension=0             93.49593     100 78.343949 3.608443e-27  10.795664
## pus.cell=normal            89.84375     100 81.528662 7.417814e-22   9.607713
## diabetes.mellitus=0        88.46154     100 82.802548 5.923654e-20   9.145715
## pedal.edema=0              83.94161     100 87.261146 5.342169e-14   7.523273
## appetite=good              82.73381     100 88.535032 1.856404e-12   7.044866
## anemia=0                   81.56028     100 89.808917 5.637756e-11   6.553040
## bacteria=notpresent        79.31034     100 92.356688 3.634294e-08   5.507760
## coronary.artery.disease=0  78.76712     100 92.993631 1.711635e-07   5.228205
## coronary.artery.disease=1   0.00000       0  7.006369 1.711635e-07  -5.228205
## bacteria=present            0.00000       0  7.643312 3.634294e-08  -5.507760
## anemia=1                    0.00000       0 10.191083 5.637756e-11  -6.553040
## appetite=poor               0.00000       0 11.464968 1.856404e-12  -7.044866
## pedal.edema=1               0.00000       0 12.738854 5.342169e-14  -7.523273
## diabetes.mellitus=1         0.00000       0 17.197452 5.923654e-20  -9.145715
## pus.cell=abnormal           0.00000       0 18.471338 7.417814e-22  -9.607713
## hypertension=1              0.00000       0 21.656051 3.608443e-27 -10.795664
## as.factor(classes)=1        0.00000       0 26.751592 3.503773e-39 -13.095281
## 
## $sick
##                              Cla/Mod   Mod/Cla    Global      p.value
## as.factor(classes)=1      100.000000 100.00000 26.751592 3.503773e-39
## hypertension=1            100.000000  80.95238 21.656051 3.608443e-27
## pus.cell=abnormal         100.000000  69.04762 18.471338 7.417814e-22
## diabetes.mellitus=1       100.000000  64.28571 17.197452 5.923654e-20
## pedal.edema=1             100.000000  47.61905 12.738854 5.342169e-14
## appetite=poor             100.000000  42.85714 11.464968 1.856404e-12
## anemia=1                  100.000000  38.09524 10.191083 5.637756e-11
## bacteria=present          100.000000  28.57143  7.643312 3.634294e-08
## coronary.artery.disease=1 100.000000  26.19048  7.006369 1.711635e-07
## coronary.artery.disease=0  21.232877  73.80952 92.993631 1.711635e-07
## bacteria=notpresent        20.689655  71.42857 92.356688 3.634294e-08
## anemia=0                   18.439716  61.90476 89.808917 5.637756e-11
## appetite=good              17.266187  57.14286 88.535032 1.856404e-12
## pedal.edema=0              16.058394  52.38095 87.261146 5.342169e-14
## diabetes.mellitus=0        11.538462  35.71429 82.802548 5.923654e-20
## pus.cell=normal            10.156250  30.95238 81.528662 7.417814e-22
## hypertension=0              6.504065  19.04762 78.343949 3.608443e-27
## as.factor(classes)=2        0.000000   0.00000 73.248408 3.503773e-39
##                               v.test
## as.factor(classes)=1       13.095281
## hypertension=1             10.795664
## pus.cell=abnormal           9.607713
## diabetes.mellitus=1         9.145715
## pedal.edema=1               7.523273
## appetite=poor               7.044866
## anemia=1                    6.553040
## bacteria=present            5.507760
## coronary.artery.disease=1   5.228205
## coronary.artery.disease=0  -5.228205
## bacteria=notpresent        -5.507760
## anemia=0                   -6.553040
## appetite=good              -7.044866
## pedal.edema=0              -7.523273
## diabetes.mellitus=0        -9.145715
## pus.cell=normal            -9.607713
## hypertension=0            -10.795664
## as.factor(classes)=2      -13.095281
## 
## 
## Link between the cluster variable and the quantitative variables
## ================================================================
##                              Eta2      P-value
## albumin                0.86928515 2.245220e-70
## hemoglobin             0.69295681 1.388233e-41
## classe.cah             0.68666700 6.713089e-41
## specific.gravity       0.61804693 3.270736e-34
## red.blood.cell.count   0.51962544 1.854202e-26
## serum.creatinine       0.50622956 1.582836e-25
## blood.urea             0.47288790 2.589076e-23
## sodium                 0.40078303 5.798881e-19
## blood.glucose.random   0.33829657 1.372724e-15
## white.blood.cell.count 0.16296872 1.582309e-07
## age                    0.09102155 1.230740e-04
## potassium              0.02508767 4.755785e-02
## 
## Description of each cluster by quantitative variables
## =====================================================
## $notsick
##                            v.test Mean in category Overall mean sd in category
## hemoglobin              10.397176       15.1521739   13.7082803   1.316672e+00
## classe.cah              10.349882       46.5130435   41.9617834   4.101676e+00
## specific.gravity         9.819130        1.0225217    1.0199363   2.499905e-03
## red.blood.cell.count     9.003420        5.3391304    4.8955414   5.909014e-01
## sodium                   7.907095      141.7739130  138.9554140   4.714567e+00
## potassium               -1.978302        4.3113043    4.6439490   5.951639e-01
## age                     -3.768204       46.6782609   49.5031847   1.522272e+01
## white.blood.cell.count  -5.042134     7699.1304348 8460.5095541   1.777908e+03
## blood.glucose.random    -7.264590      107.9391304  130.2484076   1.862410e+01
## blood.urea              -8.588976       33.0000000   52.6878981   1.171547e+01
## serum.creatinine        -8.886609        0.8713043    2.1942675   2.573325e-01
## albumin                -11.645106        0.0000000    0.7961783   0.000000e+00
##                          Overall sd      p.value
## hemoglobin             2.870162e+00 2.553908e-25
## classe.cah             9.088304e+00 4.190029e-25
## specific.gravity       5.441854e-03 9.314360e-23
## red.blood.cell.count   1.018263e+00 2.187937e-19
## sodium                 7.366946e+00 2.634644e-15
## potassium              3.475159e+00 4.789470e-02
## age                    1.549383e+01 1.644263e-04
## white.blood.cell.count 3.120852e+03 4.603675e-07
## blood.glucose.random   6.346890e+01 3.741719e-13
## blood.urea             4.737449e+01 8.774768e-18
## serum.creatinine       3.076793e+00 6.300248e-19
## albumin                1.413037e+00 2.430205e-31
## 
## $sick
##                            v.test Mean in category Overall mean sd in category
## albumin                 11.645106         2.976190    0.7961783   9.877366e-01
## serum.creatinine         8.886609         5.816667    2.1942675   4.158349e+00
## blood.urea               8.588976       106.595238   52.6878981   6.361157e+01
## blood.glucose.random     7.264590       191.333333  130.2484076   9.494376e+01
## white.blood.cell.count   5.042134     10545.238095 8460.5095541   4.671148e+03
## age                      3.768204        57.238095   49.5031847   1.346036e+01
## potassium                1.978302         5.554762    4.6439490   6.560604e+00
## sodium                  -7.907095       131.238095  138.9554140   7.791355e+00
## red.blood.cell.count    -9.003420         3.680952    4.8955414   9.517498e-01
## specific.gravity        -9.819130         1.012857    1.0199363   5.016978e-03
## classe.cah             -10.349882        29.500000   41.9617834   7.118888e+00
## hemoglobin             -10.397176         9.754762   13.7082803   2.169837e+00
##                          Overall sd      p.value
## albumin                1.413037e+00 2.430205e-31
## serum.creatinine       3.076793e+00 6.300248e-19
## blood.urea             4.737449e+01 8.774768e-18
## blood.glucose.random   6.346890e+01 3.741719e-13
## white.blood.cell.count 3.120852e+03 4.603675e-07
## age                    1.549383e+01 1.644263e-04
## potassium              3.475159e+00 4.789470e-02
## sodium                 7.366946e+00 2.634644e-15
## red.blood.cell.count   1.018263e+00 2.187937e-19
## specific.gravity       5.441854e-03 9.314360e-23
## classe.cah             9.088304e+00 4.190029e-25
## hemoglobin             2.870162e+00 2.553908e-25

representation des classes de CAH sur un plan factoriel

res.PCA=PCA(data, quali.sup=13:21,scale.unit = TRUE, graph=F) 
library(factoextra)
fviz_cluster(list(data = y, cluster = classes))

k = 2 This graph shows the 3 clusters plotted against the first two principal components of the data and which cluster each object belongs to.

k-means

Visualise cluster plot

kc=kmeans(data[,20], centers = 2, iter.max = 1000)
kc
## K-means clustering with 2 clusters of sizes 16, 141
## 
## Cluster means:
##   anemia
## 1      1
## 2      0
## 
## Clustering vector:
##   [1] 1 1 2 2 1 1 2 2 2 2 2 2 1 2 2 2 2 2 1 1 2 2 1 1 2 1 1 2 2 2 1 2 1 2 2 2 2
##  [38] 2 1 1 2 1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
##  [75] 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
## [112] 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2
## [149] 2 2 2 2 2 2 2 2 2
## 
## Within cluster sum of squares by cluster:
## [1] 0 0
##  (between_SS / total_SS = 100.0 %)
## 
## Available components:
## 
## [1] "cluster"      "centers"      "totss"        "withinss"     "tot.withinss"
## [6] "betweenss"    "size"         "iter"         "ifault"
classeskmeans=kc$cluster
data.classkmeans=cbind.data.frame(data, as.factor(classeskmeans))
View(data.classkmeans)
colnames(data.classkmeans)[15]=c("classe.kmeans")
str(data.classkmeans)
## 'data.frame':    157 obs. of  22 variables:
##  $ age                     : num  48 53 63 68 61 48 69 73 73 46 ...
##  $ specific gravity        : num  1 1.02 1.01 1.01 1.01 ...
##  $ albumin                 : num  4 2 3 3 2 4 3 0 2 1 ...
##  $ blood glucose random    : num  117 70 380 157 173 95 264 70 253 163 ...
##  $ blood urea              : num  56 107 60 90 148 163 87 32 142 92 ...
##  $ serum creatinine        : num  3.8 7.2 2.7 4.1 3.9 7.7 2.7 0.9 4.6 3.3 ...
##  $ sodium                  : num  111 114 131 130 135 136 130 125 138 141 ...
##  $ potassium               : num  2.5 3.7 4.2 6.4 5.2 3.8 4 4 5.8 4 ...
##  $ hemoglobin              : num  11.2 9.5 10.8 5.6 7.7 9.8 12.5 10 10.5 9.8 ...
##  $ packed cell volume      : num  32 29 32 16 24 32 37 29 33 28 ...
##  $ white blood cell count  : num  6700 12100 4500 11000 9200 6900 9600 18900 7200 14600 ...
##  $ red blood cell count    : num  3.9 3.7 3.8 2.6 3.2 3.4 4.1 3.5 4.3 3.2 ...
##  $ bacteria                : Factor w/ 2 levels "notpresent","present": 1 1 1 2 1 1 1 1 1 1 ...
##  $ pus cell                : Factor w/ 2 levels "abnormal","normal": 1 1 1 1 1 1 1 2 1 2 ...
##  $ classe.kmeans           : Factor w/ 2 levels "0","1": 2 2 2 2 2 2 2 2 2 2 ...
##  $ diabetes mellitus       : Factor w/ 2 levels "0","1": 1 2 2 2 2 1 2 2 2 2 ...
##  $ coronary artery disease : Factor w/ 2 levels "0","1": 1 1 1 2 2 1 2 1 2 1 ...
##  $ appetite                : Factor w/ 2 levels "good","poor": 2 2 2 2 2 1 1 1 1 1 ...
##  $ pedal edema             : Factor w/ 2 levels "0","1": 2 1 2 2 2 1 2 2 1 1 ...
##  $ anemia                  : Factor w/ 2 levels "0","1": 2 2 1 1 2 2 1 1 1 1 ...
##  $ chronic kidney disease  : Factor w/ 2 levels "notsick","sick": 2 2 2 2 2 2 2 2 2 2 ...
##  $ as.factor(classeskmeans): Factor w/ 2 levels "1","2": 1 1 2 2 1 1 2 2 2 2 ...
catdes(data.classkmeans,num.var=15)
## 
## Link between the cluster variable and the categorical variables (chi-square test)
## =================================================================================
##                               p.value df
## chronic.kidney.disease   1.141654e-27  1
## diabetes.mellitus        8.022693e-23  1
## pus.cell                 6.942072e-17  1
## pedal.edema              1.806808e-13  1
## appetite                 1.841451e-13  1
## anemia                   1.507225e-11  1
## as.factor(classeskmeans) 1.507225e-11  1
## coronary.artery.disease  6.087115e-11  1
## bacteria                 8.184340e-05  1
## 
## Description of each cluster by the categories
## =============================================
## $`0`
##                                   Cla/Mod    Mod/Cla    Global      p.value
## chronic.kidney.disease=notsick 100.000000  93.495935 73.248408 3.608443e-27
## diabetes.mellitus=0             93.076923  98.373984 82.802548 2.389448e-19
## pus.cell=normal                 91.406250  95.121951 81.528662 3.701460e-14
## pedal.edema=0                   87.591241  97.560976 87.261146 7.691375e-11
## appetite=good                   87.050360  98.373984 88.535032 8.982820e-11
## as.factor(classeskmeans)=2      85.815603  98.373984 89.808917 3.692250e-09
## anemia=0                        85.815603  98.373984 89.808917 3.692250e-09
## coronary.artery.disease=0       84.246575 100.000000 92.993631 1.143997e-08
## bacteria=notpresent             82.068966  96.747967 92.356688 6.527671e-04
## bacteria=present                33.333333   3.252033  7.643312 6.527671e-04
## coronary.artery.disease=1        0.000000   0.000000  7.006369 1.143997e-08
## as.factor(classeskmeans)=1      12.500000   1.626016 10.191083 3.692250e-09
## anemia=1                        12.500000   1.626016 10.191083 3.692250e-09
## appetite=poor                   11.111111   1.626016 11.464968 8.982820e-11
## pedal.edema=1                   15.000000   2.439024 12.738854 7.691375e-11
## pus.cell=abnormal               20.689655   4.878049 18.471338 3.701460e-14
## diabetes.mellitus=1              7.407407   1.626016 17.197452 2.389448e-19
## chronic.kidney.disease=sick     19.047619   6.504065 26.751592 3.608443e-27
##                                    v.test
## chronic.kidney.disease=notsick  10.795664
## diabetes.mellitus=0              8.993746
## pus.cell=normal                  7.571076
## pedal.edema=0                    6.506516
## appetite=good                    6.483148
## as.factor(classeskmeans)=2       5.897422
## anemia=0                         5.897422
## coronary.artery.disease=0        5.707869
## bacteria=notpresent              3.408685
## bacteria=present                -3.408685
## coronary.artery.disease=1       -5.707869
## as.factor(classeskmeans)=1      -5.897422
## anemia=1                        -5.897422
## appetite=poor                   -6.483148
## pedal.edema=1                   -6.506516
## pus.cell=abnormal               -7.571076
## diabetes.mellitus=1             -8.993746
## chronic.kidney.disease=sick    -10.795664
## 
## $`1`
##                                   Cla/Mod   Mod/Cla    Global      p.value
## chronic.kidney.disease=sick     80.952381 100.00000 26.751592 3.608443e-27
## diabetes.mellitus=1             92.592593  73.52941 17.197452 2.389448e-19
## pus.cell=abnormal               79.310345  67.64706 18.471338 3.701460e-14
## pedal.edema=1                   85.000000  50.00000 12.738854 7.691375e-11
## appetite=poor                   88.888889  47.05882 11.464968 8.982820e-11
## as.factor(classeskmeans)=1      87.500000  41.17647 10.191083 3.692250e-09
## anemia=1                        87.500000  41.17647 10.191083 3.692250e-09
## coronary.artery.disease=1      100.000000  32.35294  7.006369 1.143997e-08
## bacteria=present                66.666667  23.52941  7.643312 6.527671e-04
## bacteria=notpresent             17.931034  76.47059 92.356688 6.527671e-04
## coronary.artery.disease=0       15.753425  67.64706 92.993631 1.143997e-08
## as.factor(classeskmeans)=2      14.184397  58.82353 89.808917 3.692250e-09
## anemia=0                        14.184397  58.82353 89.808917 3.692250e-09
## appetite=good                   12.949640  52.94118 88.535032 8.982820e-11
## pedal.edema=0                   12.408759  50.00000 87.261146 7.691375e-11
## pus.cell=normal                  8.593750  32.35294 81.528662 3.701460e-14
## diabetes.mellitus=0              6.923077  26.47059 82.802548 2.389448e-19
## chronic.kidney.disease=notsick   0.000000   0.00000 73.248408 3.608443e-27
##                                    v.test
## chronic.kidney.disease=sick     10.795664
## diabetes.mellitus=1              8.993746
## pus.cell=abnormal                7.571076
## pedal.edema=1                    6.506516
## appetite=poor                    6.483148
## as.factor(classeskmeans)=1       5.897422
## anemia=1                         5.897422
## coronary.artery.disease=1        5.707869
## bacteria=present                 3.408685
## bacteria=notpresent             -3.408685
## coronary.artery.disease=0       -5.707869
## as.factor(classeskmeans)=2      -5.897422
## anemia=0                        -5.897422
## appetite=good                   -6.483148
## pedal.edema=0                   -6.506516
## pus.cell=normal                 -7.571076
## diabetes.mellitus=0             -8.993746
## chronic.kidney.disease=notsick -10.795664
## 
## 
## Link between the cluster variable and the quantitative variables
## ================================================================
##                              Eta2      P-value
## albumin                0.63697242 6.277272e-36
## packed.cell.volume     0.57251360 2.097094e-30
## hemoglobin             0.56796806 4.778716e-30
## red.blood.cell.count   0.45562615 3.203033e-22
## specific.gravity       0.43774020 4.000380e-21
## serum.creatinine       0.43410126 6.622084e-21
## blood.urea             0.38852319 2.828549e-18
## blood.glucose.random   0.36289889 7.040438e-17
## sodium                 0.29895328 1.280554e-13
## age                    0.14074198 1.291006e-06
## white.blood.cell.count 0.05159524 4.224683e-03
## potassium              0.03329321 2.218200e-02
## 
## Description of each cluster by quantitative variables
## =====================================================
## $`0`
##                           v.test Mean in category Overall mean sd in category
## packed.cell.volume      9.450509        45.577236   41.9617834   5.766469e+00
## hemoglobin              9.412918        14.845528   13.7082803   1.823302e+00
## red.blood.cell.count    8.430758         5.256911    4.8955414   6.813522e-01
## specific.gravity        8.263623         1.021829    1.0199363   3.839689e-03
## sodium                  6.829108       141.073171  138.9554140   5.594961e+00
## potassium              -2.278978         4.310569    4.6439490   6.161529e-01
## white.blood.cell.count -2.837051      8087.804878 8460.5095541   2.467927e+03
## age                    -4.685696        46.447154   49.5031847   1.545737e+01
## blood.glucose.random   -7.524110       110.146341  130.2484076   2.363809e+01
## blood.urea             -7.785218        37.162602   52.6878981   2.589735e+01
## serum.creatinine       -8.229204         1.128455    2.1942675   1.442926e+00
## albumin                -9.968335         0.203252    0.7961783   8.060679e-01
##                          Overall sd      p.value
## packed.cell.volume     9.088304e+00 3.371869e-21
## hemoglobin             2.870162e+00 4.825527e-21
## red.blood.cell.count   1.018263e+00 3.434335e-17
## specific.gravity       5.441854e-03 1.413160e-16
## sodium                 7.366946e+00 8.544441e-12
## potassium              3.475159e+00 2.266836e-02
## white.blood.cell.count 3.120852e+03 4.553235e-03
## age                    1.549383e+01 2.790098e-06
## blood.glucose.random   6.346890e+01 5.308077e-14
## blood.urea             4.737449e+01 6.959317e-15
## serum.creatinine       3.076793e+00 1.884618e-16
## albumin                1.413037e+00 2.097154e-23
## 
## $`1`
##                           v.test Mean in category Overall mean sd in category
## albumin                 9.968335         2.941176    0.7961783   9.982684e-01
## serum.creatinine        8.229204         6.050000    2.1942675   4.147944e+00
## blood.urea              7.785218       108.852941   52.6878981   6.253664e+01
## blood.glucose.random    7.524110       202.970588  130.2484076   9.914383e+01
## age                     4.685696        60.558824   49.5031847   9.387699e+00
## white.blood.cell.count  2.837051      9808.823529 8460.5095541   4.540949e+03
## potassium               2.278978         5.850000    4.6439490   7.248174e+00
## sodium                 -6.829108       131.294118  138.9554140   7.902082e+00
## specific.gravity       -8.263623         1.013088    1.0199363   4.852941e-03
## red.blood.cell.count   -8.430758         3.588235    4.8955414   9.627671e-01
## hemoglobin             -9.412918         9.594118   13.7082803   2.099431e+00
## packed.cell.volume     -9.450509        28.882353   41.9617834   6.538415e+00
##                          Overall sd      p.value
## albumin                1.413037e+00 2.097154e-23
## serum.creatinine       3.076793e+00 1.884618e-16
## blood.urea             4.737449e+01 6.959317e-15
## blood.glucose.random   6.346890e+01 5.308077e-14
## age                    1.549383e+01 2.790098e-06
## white.blood.cell.count 3.120852e+03 4.553235e-03
## potassium              3.475159e+00 2.266836e-02
## sodium                 7.366946e+00 8.544441e-12
## specific.gravity       5.441854e-03 1.413160e-16
## red.blood.cell.count   1.018263e+00 3.434335e-17
## hemoglobin             2.870162e+00 4.825527e-21
## packed.cell.volume     9.088304e+00 3.371869e-21
library(factoextra)
fviz_cluster(list(data = y, cluster = classeskmeans))

Decision Tree

We choose bacteria as our target value. Decision tree is easy to interpret,works even if there is non linear relationships between variables and is not sensitive to outliers.

library(rpart)
## Warning: le package 'rpart' a été compilé avec la version R 4.1.3
library(rpart.plot)
## Warning: le package 'rpart.plot' a été compilé avec la version R 4.1.3
Tree = rpart(data$bacteria~. ,data=data)
rpart.plot(Tree)

Now let’s define our optimal tree !

TOptimal = rpart(data$bacteria~. ,data=data, cp= 0.01000000, control=rpart.control(minsplit=9))
rpart.plot(TOptimal)

From the decision tree shown above we can conclude that any patient whose specific gravity exceeds one, is likely to have bacteria by 84%.

Now let’s randomly choose un train set !

x = sample(c(1:nrow(data)), 0.8*nrow(data))
x
##   [1]  46  35  96  22  40 141  47  62 131  44  57   7 106 140  31  58  54 153
##  [19]  72  99  50  69  52 117  80  43  51   4 155 137 121  93  92 156   5 111
##  [37]  11 122  33  60 107  13 139  86  67 124 116 146 134  25   2 123 148 119
##  [55]  70  71 133 138  76 112  12 105  89  28  15  77 142  24 152 130 151 109
##  [73] 144 115  38  19 132  84  56 118   1  78 154 129  68  83  63  16 147   6
##  [91]  75  32 157  53  23  59  29 110 126  66  21 127  20  26  74   3 108  34
## [109]  49  55  41  73 104  98  81   9  61 143 136  82 100  14  85  39 114

Split data into train and test set !

x<-sample(c(1:nrow(data)), 0.8*nrow(data))
training=data[x,]
test1=data[-x,]
test=data[-x,-2]
p = predict(Tree, training)
p
##     notpresent     present
## 1    0.3636364 0.636363636
## 2    0.9924242 0.007575758
## 3    0.9924242 0.007575758
## 4    0.9924242 0.007575758
## 5    0.9924242 0.007575758
## 6    0.9924242 0.007575758
## 7    0.9924242 0.007575758
## 8    0.7142857 0.285714286
## 9    0.9924242 0.007575758
## 10   0.9924242 0.007575758
## 11   0.9924242 0.007575758
## 12   0.9924242 0.007575758
## 13   0.9924242 0.007575758
## 14   0.9924242 0.007575758
## 15   0.9924242 0.007575758
## 16   0.9924242 0.007575758
## 17   0.9924242 0.007575758
## 18   0.3636364 0.636363636
## 19   0.7142857 0.285714286
## 20   0.9924242 0.007575758
## 21   0.9924242 0.007575758
## 22   0.3636364 0.636363636
## 23   0.9924242 0.007575758
## 24   0.9924242 0.007575758
## 25   0.9924242 0.007575758
## 26   0.7142857 0.285714286
## 27   0.9924242 0.007575758
## 28   0.9924242 0.007575758
## 29   0.9924242 0.007575758
## 30   0.9924242 0.007575758
## 31   0.3636364 0.636363636
## 32   0.9924242 0.007575758
## 33   0.7142857 0.285714286
## 34   0.9924242 0.007575758
## 35   0.7142857 0.285714286
## 36   0.9924242 0.007575758
## 37   0.9924242 0.007575758
## 38   0.9924242 0.007575758
## 39   0.9924242 0.007575758
## 40   0.9924242 0.007575758
## 41   0.9924242 0.007575758
## 42   0.9924242 0.007575758
## 43   0.9924242 0.007575758
## 44   0.9924242 0.007575758
## 45   0.9924242 0.007575758
## 46   0.9924242 0.007575758
## 47   0.9924242 0.007575758
## 48   0.9924242 0.007575758
## 49   0.9924242 0.007575758
## 50   0.9924242 0.007575758
## 51   0.9924242 0.007575758
## 52   0.9924242 0.007575758
## 53   0.9924242 0.007575758
## 54   0.9924242 0.007575758
## 55   0.7142857 0.285714286
## 56   0.7142857 0.285714286
## 57   0.9924242 0.007575758
## 58   0.9924242 0.007575758
## 59   0.9924242 0.007575758
## 60   0.9924242 0.007575758
## 61   0.9924242 0.007575758
## 62   0.3636364 0.636363636
## 63   0.9924242 0.007575758
## 64   0.3636364 0.636363636
## 65   0.9924242 0.007575758
## 66   0.9924242 0.007575758
## 67   0.9924242 0.007575758
## 68   0.3636364 0.636363636
## 69   0.9924242 0.007575758
## 70   0.9924242 0.007575758
## 71   0.9924242 0.007575758
## 72   0.9924242 0.007575758
## 73   0.7142857 0.285714286
## 74   0.9924242 0.007575758
## 75   0.9924242 0.007575758
## 76   0.9924242 0.007575758
## 77   0.9924242 0.007575758
## 78   0.9924242 0.007575758
## 79   0.9924242 0.007575758
## 80   0.9924242 0.007575758
## 81   0.9924242 0.007575758
## 82   0.9924242 0.007575758
## 83   0.9924242 0.007575758
## 84   0.7142857 0.285714286
## 85   0.9924242 0.007575758
## 86   0.3636364 0.636363636
## 87   0.9924242 0.007575758
## 88   0.9924242 0.007575758
## 89   0.7142857 0.285714286
## 90   0.9924242 0.007575758
## 91   0.9924242 0.007575758
## 92   0.9924242 0.007575758
## 93   0.9924242 0.007575758
## 94   0.9924242 0.007575758
## 95   0.9924242 0.007575758
## 96   0.7142857 0.285714286
## 97   0.9924242 0.007575758
## 98   0.9924242 0.007575758
## 99   0.7142857 0.285714286
## 100  0.9924242 0.007575758
## 101  0.9924242 0.007575758
## 102  0.9924242 0.007575758
## 103  0.7142857 0.285714286
## 104  0.9924242 0.007575758
## 105  0.9924242 0.007575758
## 106  0.9924242 0.007575758
## 107  0.9924242 0.007575758
## 108  0.9924242 0.007575758
## 109  0.9924242 0.007575758
## 110  0.9924242 0.007575758
## 111  0.9924242 0.007575758
## 112  0.9924242 0.007575758
## 113  0.9924242 0.007575758
## 114  0.3636364 0.636363636
## 115  0.3636364 0.636363636
## 116  0.9924242 0.007575758
## 117  0.9924242 0.007575758
## 118  0.9924242 0.007575758
## 119  0.9924242 0.007575758
## 120  0.9924242 0.007575758
## 121  0.9924242 0.007575758
## 122  0.9924242 0.007575758
## 123  0.9924242 0.007575758
## 124  0.9924242 0.007575758
## 125  0.9924242 0.007575758
sum(diag(p))/sum(p)
## [1] 0.002969697

conclusion : The decision tree doesn’t give us an accurate prediction